Finding the Fourth Proportional to 763.12, 1,142.12 and 438
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Solution
The fourth proportional to 763.12, 1,142.12 and 438 is: 655.53
Step by Step Solution
- Step 1: Write the proportion equation
763.12 : 1,142.12 = 438 : x - Step 2: Convert to fraction form
763.12/1,142.12 = 438/x - Step 3: Cross multiply
763.12x = 1,142.12 × 438 - Step 4: Simplify right side
763.12x = 500,248.56 - Step 5: Solve for x
x = 500,248.56/763.12 - Step 6: Final answer
x = 655.53
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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.