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Finding the Fourth Proportional to 932.89, 1,286.85 and 862.90

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Solution

The fourth proportional to 932.89, 1,286.85 and 862.90 is: 1,190.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.89 : 1,286.85 = 862.90 : x
  2. Step 2: Convert to fraction form
    932.89/1,286.85 = 862.90/x
  3. Step 3: Cross multiply
    932.89x = 1,286.85 × 862.90
  4. Step 4: Simplify right side
    932.89x = 1,110,422.87
  5. Step 5: Solve for x
    x = 1,110,422.87/932.89
  6. Step 6: Final answer
    x = 1,190.30

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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.