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Finding the Fourth Proportional to 574.17, 861.26 and 429.59

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Solution

The fourth proportional to 574.17, 861.26 and 429.59 is: 644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.17 : 861.26 = 429.59 : x
  2. Step 2: Convert to fraction form
    574.17/861.26 = 429.59/x
  3. Step 3: Cross multiply
    574.17x = 861.26 × 429.59
  4. Step 4: Simplify right side
    574.17x = 369,982.23
  5. Step 5: Solve for x
    x = 369,982.23/574.17
  6. Step 6: Final answer
    x = 644.38

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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.