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Finding the Fourth Proportional to 625.12, 937.20 and 432.80

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Solution

The fourth proportional to 625.12, 937.20 and 432.80 is: 648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.12 : 937.20 = 432.80 : x
  2. Step 2: Convert to fraction form
    625.12/937.20 = 432.80/x
  3. Step 3: Cross multiply
    625.12x = 937.20 × 432.80
  4. Step 4: Simplify right side
    625.12x = 405,620.16
  5. Step 5: Solve for x
    x = 405,620.16/625.12
  6. Step 6: Final answer
    x = 648.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.