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Finding the Fourth Proportional to 641.97, 961.74 and 381.42

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Solution

The fourth proportional to 641.97, 961.74 and 381.42 is: 571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.97 : 961.74 = 381.42 : x
  2. Step 2: Convert to fraction form
    641.97/961.74 = 381.42/x
  3. Step 3: Cross multiply
    641.97x = 961.74 × 381.42
  4. Step 4: Simplify right side
    641.97x = 366,826.87
  5. Step 5: Solve for x
    x = 366,826.87/641.97
  6. Step 6: Final answer
    x = 571.41

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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.