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Finding the Fourth Proportional to 625.92, 870.67 and 614.04

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Solution

The fourth proportional to 625.92, 870.67 and 614.04 is: 854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.92 : 870.67 = 614.04 : x
  2. Step 2: Convert to fraction form
    625.92/870.67 = 614.04/x
  3. Step 3: Cross multiply
    625.92x = 870.67 × 614.04
  4. Step 4: Simplify right side
    625.92x = 534,626.21
  5. Step 5: Solve for x
    x = 534,626.21/625.92
  6. Step 6: Final answer
    x = 854.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.