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Finding the Fourth Proportional to 625.60, 863.58 and 457.71

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Solution

The fourth proportional to 625.60, 863.58 and 457.71 is: 631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.60 : 863.58 = 457.71 : x
  2. Step 2: Convert to fraction form
    625.60/863.58 = 457.71/x
  3. Step 3: Cross multiply
    625.60x = 863.58 × 457.71
  4. Step 4: Simplify right side
    625.60x = 395,269.20
  5. Step 5: Solve for x
    x = 395,269.20/625.60
  6. Step 6: Final answer
    x = 631.82

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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.