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Finding the Fourth Proportional to 574.52, 861.23 and 209.21

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Solution

The fourth proportional to 574.52, 861.23 and 209.21 is: 313.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.52 : 861.23 = 209.21 : x
  2. Step 2: Convert to fraction form
    574.52/861.23 = 209.21/x
  3. Step 3: Cross multiply
    574.52x = 861.23 × 209.21
  4. Step 4: Simplify right side
    574.52x = 180,174.15
  5. Step 5: Solve for x
    x = 180,174.15/574.52
  6. Step 6: Final answer
    x = 313.61

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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.