Foster rushed for 102 yards on 29 carries, including just 17 yards on 12 rushes after halftime. However, Chicago, which compiled as many turnovers as first downs in the first half (four), never was able to match his touchdown.
Cutler was lost on a bizarre play in the second quarter. On third-and-9 from midfield, Cutler was across the line of scrimmage when he completed a 42-yard pass to Devin Hester. Cutler then was slammed down by Houston linebacker Tim Dobbins.
After the offsetting penalties, Cutler scrambled for 11 yards on the next play but, two plays later, he threw his second interception of the game. In the half he played, Cutler rushed for nearly as many yards (37) as he passed for (40). He posted a passer rating of just 16.7 after completing seven of 14 passes and getting picked off twice.
The Bears (7-2) got little help from running back Matt Forte, who gained 39 yards on 16 carries.
Jason Campbell, who replaced Cutler, got the Bears close to a tying touchdown when he completed a 45-yard throw to Brandon Marshall late in the third quarter. However, the drive stalled, and Chicago had to settle for a 24-yard field goal by Robbie Gould, his second of the game, cutting the Bears' deficit to 10-6.
Gould clanked a 48-yard attempt off the left upright with 11:40 remaining in the fourth quarter.
Houston's Shayne Graham hit a 42-yard field goal with less than five minutes to play to complete the scoring.
The Bears, who came into the game with the NFL's best takeaway ratio, plus-16 in their first eight games, lost four turnovers before halftime, including three on just 10 offensive plays in the first quarter -- two fumbles and an interception thrown by Cutler. Two of the takeaways were created by Texans cornerback Danieal Manning, who played the first five seasons of his career with Chicago.
All four turnovers occurred in the Texans' half of the field, including a costly one by running back Michael Bush after he converted a fourth-and-one with an 11-yard run to the Houston 32-yard line before safety Glover Quin knocked the ball loose, and Cutler's second interception of the game at the Houston 27-yard line in the closing moments of the first half.
But Houston couldn't do much with the extra opportunities because the Texans, who had lost a league-low six turnovers in their previous eight games, had their own problems in the sloppy first half. Quarterback Matt Schaub, who had thrown just four interceptions this season, threw two before halftime.
Neither team could sustain a drive until midway through the second quarter, after the Bears' Robbie Gould tied the game at 3-3 with a 51-yard field goal -- right after Brandon Marshall dropped a perfectly thrown, 33-yard pass from Cutler in the end zone.
The Texans drove 66 yards after the kickoff, with Foster ripping off a 21-yard run through a big hole and Justin Forsett running 25 through an even bigger hole before Schaub threw a 2-yard pass to Arian, who scored his league-leading 12th touchdown.
NOTES: In a game played mostly in a steady downpour, five of the six first-half turnovers came in the first 16 minutes. ... The Bears had to play most of the game without backup rookie defensive end Shea McClellin, their first-round draft pick who suffered a concussion in the first quarter. McClellin has 2.5 sacks in spot play this year. ... Going into the game, Chicago's defense ranked No. 6 in the NFL against the run, allowing 88 rushing yards a game, but Houston rushed for 112 yards in just the first half, led by 85 from Foster, who leads the AFC in rushing. ... Houston played without two injured starters, including tight end Owen Daniels, the Texans' second-leading receiver and leader in touchdown catches. Nose tackle Shaun Cody also missed the game.