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Finding the Fourth Proportional to 658.43, 987.78 and 384.02

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Solution

The fourth proportional to 658.43, 987.78 and 384.02 is: 576.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.43 : 987.78 = 384.02 : x
  2. Step 2: Convert to fraction form
    658.43/987.78 = 384.02/x
  3. Step 3: Cross multiply
    658.43x = 987.78 × 384.02
  4. Step 4: Simplify right side
    658.43x = 379,327.28
  5. Step 5: Solve for x
    x = 379,327.28/658.43
  6. Step 6: Final answer
    x = 576.11

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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.