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Finding the Fourth Proportional to 932.57, 1,286.84 and 539.51

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Solution

The fourth proportional to 932.57, 1,286.84 and 539.51 is: 744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.57 : 1,286.84 = 539.51 : x
  2. Step 2: Convert to fraction form
    932.57/1,286.84 = 539.51/x
  3. Step 3: Cross multiply
    932.57x = 1,286.84 × 539.51
  4. Step 4: Simplify right side
    932.57x = 694,267.61
  5. Step 5: Solve for x
    x = 694,267.61/932.57
  6. Step 6: Final answer
    x = 744.47

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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.