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Finding the Fourth Proportional to 932.12, 1,397.93 and 492.78

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Solution

The fourth proportional to 932.12, 1,397.93 and 492.78 is: 739.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.12 : 1,397.93 = 492.78 : x
  2. Step 2: Convert to fraction form
    932.12/1,397.93 = 492.78/x
  3. Step 3: Cross multiply
    932.12x = 1,397.93 × 492.78
  4. Step 4: Simplify right side
    932.12x = 688,871.95
  5. Step 5: Solve for x
    x = 688,871.95/932.12
  6. Step 6: Final answer
    x = 739.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.