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Finding the Fourth Proportional to 938.29, 1,294.78 and 565.15

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Solution

The fourth proportional to 938.29, 1,294.78 and 565.15 is: 779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.29 : 1,294.78 = 565.15 : x
  2. Step 2: Convert to fraction form
    938.29/1,294.78 = 565.15/x
  3. Step 3: Cross multiply
    938.29x = 1,294.78 × 565.15
  4. Step 4: Simplify right side
    938.29x = 731,744.92
  5. Step 5: Solve for x
    x = 731,744.92/938.29
  6. Step 6: Final answer
    x = 779.87

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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.