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Finding the Fourth Proportional to 642.39, 963.86 and 614.71

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Solution

The fourth proportional to 642.39, 963.86 and 614.71 is: 922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.39 : 963.86 = 614.71 : x
  2. Step 2: Convert to fraction form
    642.39/963.86 = 614.71/x
  3. Step 3: Cross multiply
    642.39x = 963.86 × 614.71
  4. Step 4: Simplify right side
    642.39x = 592,489.56
  5. Step 5: Solve for x
    x = 592,489.56/642.39
  6. Step 6: Final answer
    x = 922.33

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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.