Finding the Fourth Proportional to 1,163.97, 1,746 and 433.53
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Solution
The fourth proportional to 1,163.97, 1,746 and 433.53 is: 650.31
Step by Step Solution
- Step 1: Write the proportion equation
1,163.97 : 1,746 = 433.53 : x - Step 2: Convert to fraction form
1,163.97/1,746 = 433.53/x - Step 3: Cross multiply
1,163.97x = 1,746 × 433.53 - Step 4: Simplify right side
1,163.97x = 756,943.38 - Step 5: Solve for x
x = 756,943.38/1,163.97 - Step 6: Final answer
x = 650.31
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.