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Finding the Fourth Proportional to 625.10, 861.68 and 525.47

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Solution

The fourth proportional to 625.10, 861.68 and 525.47 is: 724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.10 : 861.68 = 525.47 : x
  2. Step 2: Convert to fraction form
    625.10/861.68 = 525.47/x
  3. Step 3: Cross multiply
    625.10x = 861.68 × 525.47
  4. Step 4: Simplify right side
    625.10x = 452,780.05
  5. Step 5: Solve for x
    x = 452,780.05/625.10
  6. Step 6: Final answer
    x = 724.34

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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.