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Finding the Fourth Proportional to 932.82, 1,287 and 697.11

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Solution

The fourth proportional to 932.82, 1,287 and 697.11 is: 961.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.82 : 1,287 = 697.11 : x
  2. Step 2: Convert to fraction form
    932.82/1,287 = 697.11/x
  3. Step 3: Cross multiply
    932.82x = 1,287 × 697.11
  4. Step 4: Simplify right side
    932.82x = 897,180.57
  5. Step 5: Solve for x
    x = 897,180.57/932.82
  6. Step 6: Final answer
    x = 961.79

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