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Finding the Fourth Proportional to 625, 861.54 and 428.20

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Solution

The fourth proportional to 625, 861.54 and 428.20 is: 590.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    625 : 861.54 = 428.20 : x
  2. Step 2: Convert to fraction form
    625/861.54 = 428.20/x
  3. Step 3: Cross multiply
    625x = 861.54 × 428.20
  4. Step 4: Simplify right side
    625x = 368,911.43
  5. Step 5: Solve for x
    x = 368,911.43/625
  6. Step 6: Final answer
    x = 590.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.