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Finding the Fourth Proportional to 932.06, 1,286.15 and 539.07

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Solution

The fourth proportional to 932.06, 1,286.15 and 539.07 is: 743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.06 : 1,286.15 = 539.07 : x
  2. Step 2: Convert to fraction form
    932.06/1,286.15 = 539.07/x
  3. Step 3: Cross multiply
    932.06x = 1,286.15 × 539.07
  4. Step 4: Simplify right side
    932.06x = 693,322.19
  5. Step 5: Solve for x
    x = 693,322.19/932.06
  6. Step 6: Final answer
    x = 743.86

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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.