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Finding the Fourth Proportional to 575.29, 861.18 and 488.62

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Solution

The fourth proportional to 575.29, 861.18 and 488.62 is: 731.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.29 : 861.18 = 488.62 : x
  2. Step 2: Convert to fraction form
    575.29/861.18 = 488.62/x
  3. Step 3: Cross multiply
    575.29x = 861.18 × 488.62
  4. Step 4: Simplify right side
    575.29x = 420,789.77
  5. Step 5: Solve for x
    x = 420,789.77/575.29
  6. Step 6: Final answer
    x = 731.44

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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.