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Finding the Fourth Proportional to 641.86, 964.38 and 410.85

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Solution

The fourth proportional to 641.86, 964.38 and 410.85 is: 617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.86 : 964.38 = 410.85 : x
  2. Step 2: Convert to fraction form
    641.86/964.38 = 410.85/x
  3. Step 3: Cross multiply
    641.86x = 964.38 × 410.85
  4. Step 4: Simplify right side
    641.86x = 396,215.52
  5. Step 5: Solve for x
    x = 396,215.52/641.86
  6. Step 6: Final answer
    x = 617.29

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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.