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Finding the Fourth Proportional to 641.60, 963.12 and 425.60

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Solution

The fourth proportional to 641.60, 963.12 and 425.60 is: 638.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.60 : 963.12 = 425.60 : x
  2. Step 2: Convert to fraction form
    641.60/963.12 = 425.60/x
  3. Step 3: Cross multiply
    641.60x = 963.12 × 425.60
  4. Step 4: Simplify right side
    641.60x = 409,903.87
  5. Step 5: Solve for x
    x = 409,903.87/641.60
  6. Step 6: Final answer
    x = 638.88

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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.