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Finding the Fourth Proportional to 961.73, 1,327.15 and 588.73

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Solution

The fourth proportional to 961.73, 1,327.15 and 588.73 is: 812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.73 : 1,327.15 = 588.73 : x
  2. Step 2: Convert to fraction form
    961.73/1,327.15 = 588.73/x
  3. Step 3: Cross multiply
    961.73x = 1,327.15 × 588.73
  4. Step 4: Simplify right side
    961.73x = 781,333.02
  5. Step 5: Solve for x
    x = 781,333.02/961.73
  6. Step 6: Final answer
    x = 812.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.