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Finding the Fourth Proportional to 574.85, 861.99 and 487.91

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Solution

The fourth proportional to 574.85, 861.99 and 487.91 is: 731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.85 : 861.99 = 487.91 : x
  2. Step 2: Convert to fraction form
    574.85/861.99 = 487.91/x
  3. Step 3: Cross multiply
    574.85x = 861.99 × 487.91
  4. Step 4: Simplify right side
    574.85x = 420,573.54
  5. Step 5: Solve for x
    x = 420,573.54/574.85
  6. Step 6: Final answer
    x = 731.62

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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.