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Finding the Fourth Proportional to 842.49, 1,263.78 and 731.88

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Solution

The fourth proportional to 842.49, 1,263.78 and 731.88 is: 1,097.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.49 : 1,263.78 = 731.88 : x
  2. Step 2: Convert to fraction form
    842.49/1,263.78 = 731.88/x
  3. Step 3: Cross multiply
    842.49x = 1,263.78 × 731.88
  4. Step 4: Simplify right side
    842.49x = 924,935.31
  5. Step 5: Solve for x
    x = 924,935.31/842.49
  6. Step 6: Final answer
    x = 1,097.86

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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.