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Finding the Fourth Proportional to 658.92, 987.43 and 484.21

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Solution

The fourth proportional to 658.92, 987.43 and 484.21 is: 725.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.92 : 987.43 = 484.21 : x
  2. Step 2: Convert to fraction form
    658.92/987.43 = 484.21/x
  3. Step 3: Cross multiply
    658.92x = 987.43 × 484.21
  4. Step 4: Simplify right side
    658.92x = 478,121.06
  5. Step 5: Solve for x
    x = 478,121.06/658.92
  6. Step 6: Final answer
    x = 725.62

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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.