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Finding the Fourth Proportional to 574.43, 861.65 and 209.22

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Solution

The fourth proportional to 574.43, 861.65 and 209.22 is: 313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.43 : 861.65 = 209.22 : x
  2. Step 2: Convert to fraction form
    574.43/861.65 = 209.22/x
  3. Step 3: Cross multiply
    574.43x = 861.65 × 209.22
  4. Step 4: Simplify right side
    574.43x = 180,276.87
  5. Step 5: Solve for x
    x = 180,276.87/574.43
  6. Step 6: Final answer
    x = 313.83

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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.