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Finding the Fourth Proportional to 625.44, 862.14 and 459.84

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Solution

The fourth proportional to 625.44, 862.14 and 459.84 is: 633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.44 : 862.14 = 459.84 : x
  2. Step 2: Convert to fraction form
    625.44/862.14 = 459.84/x
  3. Step 3: Cross multiply
    625.44x = 862.14 × 459.84
  4. Step 4: Simplify right side
    625.44x = 396,446.46
  5. Step 5: Solve for x
    x = 396,446.46/625.44
  6. Step 6: Final answer
    x = 633.87

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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.