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Finding the Fourth Proportional to 574.64, 861.96 and 472.90

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Solution

The fourth proportional to 574.64, 861.96 and 472.90 is: 709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.64 : 861.96 = 472.90 : x
  2. Step 2: Convert to fraction form
    574.64/861.96 = 472.90/x
  3. Step 3: Cross multiply
    574.64x = 861.96 × 472.90
  4. Step 4: Simplify right side
    574.64x = 407,616.57
  5. Step 5: Solve for x
    x = 407,616.57/574.64
  6. Step 6: Final answer
    x = 709.34

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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.