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Finding the Fourth Proportional to 574.53, 861.39 and 381.75

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Solution

The fourth proportional to 574.53, 861.39 and 381.75 is: 572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.53 : 861.39 = 381.75 : x
  2. Step 2: Convert to fraction form
    574.53/861.39 = 381.75/x
  3. Step 3: Cross multiply
    574.53x = 861.39 × 381.75
  4. Step 4: Simplify right side
    574.53x = 328,835.63
  5. Step 5: Solve for x
    x = 328,835.63/574.53
  6. Step 6: Final answer
    x = 572.36

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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.