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Finding the Fourth Proportional to 641.97, 963.11 and 276.56

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Solution

The fourth proportional to 641.97, 963.11 and 276.56 is: 414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.97 : 963.11 = 276.56 : x
  2. Step 2: Convert to fraction form
    641.97/963.11 = 276.56/x
  3. Step 3: Cross multiply
    641.97x = 963.11 × 276.56
  4. Step 4: Simplify right side
    641.97x = 266,357.70
  5. Step 5: Solve for x
    x = 266,357.70/641.97
  6. Step 6: Final answer
    x = 414.91

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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.