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Finding the Fourth Proportional to 625.15, 861.73 and 507.30

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Solution

The fourth proportional to 625.15, 861.73 and 507.30 is: 699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.15 : 861.73 = 507.30 : x
  2. Step 2: Convert to fraction form
    625.15/861.73 = 507.30/x
  3. Step 3: Cross multiply
    625.15x = 861.73 × 507.30
  4. Step 4: Simplify right side
    625.15x = 437,155.63
  5. Step 5: Solve for x
    x = 437,155.63/625.15
  6. Step 6: Final answer
    x = 699.28

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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.