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Finding the Fourth Proportional to 657.71, 907.13 and 424.43

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Solution

The fourth proportional to 657.71, 907.13 and 424.43 is: 585.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.71 : 907.13 = 424.43 : x
  2. Step 2: Convert to fraction form
    657.71/907.13 = 424.43/x
  3. Step 3: Cross multiply
    657.71x = 907.13 × 424.43
  4. Step 4: Simplify right side
    657.71x = 385,013.19
  5. Step 5: Solve for x
    x = 385,013.19/657.71
  6. Step 6: Final answer
    x = 585.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.