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Finding the Fourth Proportional to 657.87, 987.20 and 292.62

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Solution

The fourth proportional to 657.87, 987.20 and 292.62 is: 439.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.87 : 987.20 = 292.62 : x
  2. Step 2: Convert to fraction form
    657.87/987.20 = 292.62/x
  3. Step 3: Cross multiply
    657.87x = 987.20 × 292.62
  4. Step 4: Simplify right side
    657.87x = 288,874.46
  5. Step 5: Solve for x
    x = 288,874.46/657.87
  6. Step 6: Final answer
    x = 439.11

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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.