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Finding the Fourth Proportional to 625.29, 862.43 and 478.41

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Solution

The fourth proportional to 625.29, 862.43 and 478.41 is: 659.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.29 : 862.43 = 478.41 : x
  2. Step 2: Convert to fraction form
    625.29/862.43 = 478.41/x
  3. Step 3: Cross multiply
    625.29x = 862.43 × 478.41
  4. Step 4: Simplify right side
    625.29x = 412,592.74
  5. Step 5: Solve for x
    x = 412,592.74/625.29
  6. Step 6: Final answer
    x = 659.84

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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.