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Finding the Fourth Proportional to 641.73, 964.18 and 410.72

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Solution

The fourth proportional to 641.73, 964.18 and 410.72 is: 617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.73 : 964.18 = 410.72 : x
  2. Step 2: Convert to fraction form
    641.73/964.18 = 410.72/x
  3. Step 3: Cross multiply
    641.73x = 964.18 × 410.72
  4. Step 4: Simplify right side
    641.73x = 396,008.01
  5. Step 5: Solve for x
    x = 396,008.01/641.73
  6. Step 6: Final answer
    x = 617.09

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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.