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Finding the Fourth Proportional to 574.68, 861.18 and 282.09

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Solution

The fourth proportional to 574.68, 861.18 and 282.09 is: 422.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.68 : 861.18 = 282.09 : x
  2. Step 2: Convert to fraction form
    574.68/861.18 = 282.09/x
  3. Step 3: Cross multiply
    574.68x = 861.18 × 282.09
  4. Step 4: Simplify right side
    574.68x = 242,930.27
  5. Step 5: Solve for x
    x = 242,930.27/574.68
  6. Step 6: Final answer
    x = 422.72

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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.