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Finding the Fourth Proportional to 658.49, 987.12 and 292.91

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Solution

The fourth proportional to 658.49, 987.12 and 292.91 is: 439.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.49 : 987.12 = 292.91 : x
  2. Step 2: Convert to fraction form
    658.49/987.12 = 292.91/x
  3. Step 3: Cross multiply
    658.49x = 987.12 × 292.91
  4. Step 4: Simplify right side
    658.49x = 289,132.38
  5. Step 5: Solve for x
    x = 289,132.38/658.49
  6. Step 6: Final answer
    x = 439.09

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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.