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Finding the Fourth Proportional to 658.49, 987.04 and 624.31

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Solution

The fourth proportional to 658.49, 987.04 and 624.31 is: 935.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.49 : 987.04 = 624.31 : x
  2. Step 2: Convert to fraction form
    658.49/987.04 = 624.31/x
  3. Step 3: Cross multiply
    658.49x = 987.04 × 624.31
  4. Step 4: Simplify right side
    658.49x = 616,218.94
  5. Step 5: Solve for x
    x = 616,218.94/658.49
  6. Step 6: Final answer
    x = 935.81

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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.