Davenport, this year's Wimbledon and Australian Open runner-up, won 6-2, 6-4.
"It's tough sometimes to play four weeks in a row and still to come out on top," Davenport said. "I've played a lot of matches the last few weeks and I felt this whole week was a success. I won in straight sets every match, and it's not always easy to win when you're expected to win."
Davenport, 29, is just one title away from becoming the ninth woman to win 50 career singles titles. She is also only the third player this year with at least four titles, joining Belgians Kim Clijsters (seven) and Justine Henin-Hardenne (four).