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Finding the Fourth Proportional to 932.32, 1,391.12 and 926.92

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Solution

The fourth proportional to 932.32, 1,391.12 and 926.92 is: 1,383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.32 : 1,391.12 = 926.92 : x
  2. Step 2: Convert to fraction form
    932.32/1,391.12 = 926.92/x
  3. Step 3: Cross multiply
    932.32x = 1,391.12 × 926.92
  4. Step 4: Simplify right side
    932.32x = 1,289,456.95
  5. Step 5: Solve for x
    x = 1,289,456.95/932.32
  6. Step 6: Final answer
    x = 1,383.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.