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Finding the Fourth Proportional to 641.74, 960.81 and 410.62

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Solution

The fourth proportional to 641.74, 960.81 and 410.62 is: 614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.74 : 960.81 = 410.62 : x
  2. Step 2: Convert to fraction form
    641.74/960.81 = 410.62/x
  3. Step 3: Cross multiply
    641.74x = 960.81 × 410.62
  4. Step 4: Simplify right side
    641.74x = 394,527.80
  5. Step 5: Solve for x
    x = 394,527.80/641.74
  6. Step 6: Final answer
    x = 614.78

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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.