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Finding the Fourth Proportional to 932.40, 1,286.88 and 539.44

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Solution

The fourth proportional to 932.40, 1,286.88 and 539.44 is: 744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.40 : 1,286.88 = 539.44 : x
  2. Step 2: Convert to fraction form
    932.40/1,286.88 = 539.44/x
  3. Step 3: Cross multiply
    932.40x = 1,286.88 × 539.44
  4. Step 4: Simplify right side
    932.40x = 694,194.55
  5. Step 5: Solve for x
    x = 694,194.55/932.40
  6. Step 6: Final answer
    x = 744.52

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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.