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Finding the Fourth Proportional to 641.73, 958.68 and 408.75

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Solution

The fourth proportional to 641.73, 958.68 and 408.75 is: 610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.73 : 958.68 = 408.75 : x
  2. Step 2: Convert to fraction form
    641.73/958.68 = 408.75/x
  3. Step 3: Cross multiply
    641.73x = 958.68 × 408.75
  4. Step 4: Simplify right side
    641.73x = 391,860.45
  5. Step 5: Solve for x
    x = 391,860.45/641.73
  6. Step 6: Final answer
    x = 610.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.