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Finding the Fourth Proportional to 625.15, 862.14 and 500.82

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Solution

The fourth proportional to 625.15, 862.14 and 500.82 is: 690.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.15 : 862.14 = 500.82 : x
  2. Step 2: Convert to fraction form
    625.15/862.14 = 500.82/x
  3. Step 3: Cross multiply
    625.15x = 862.14 × 500.82
  4. Step 4: Simplify right side
    625.15x = 431,776.95
  5. Step 5: Solve for x
    x = 431,776.95/625.15
  6. Step 6: Final answer
    x = 690.68

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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.