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Finding the Fourth Proportional to 932.75, 1,286.13 and 596.20

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Solution

The fourth proportional to 932.75, 1,286.13 and 596.20 is: 822.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.75 : 1,286.13 = 596.20 : x
  2. Step 2: Convert to fraction form
    932.75/1,286.13 = 596.20/x
  3. Step 3: Cross multiply
    932.75x = 1,286.13 × 596.20
  4. Step 4: Simplify right side
    932.75x = 766,790.71
  5. Step 5: Solve for x
    x = 766,790.71/932.75
  6. Step 6: Final answer
    x = 822.08

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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.