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Finding the Fourth Proportional to 872.49, 1,205.96 and 766.79

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Solution

The fourth proportional to 872.49, 1,205.96 and 766.79 is: 1,059.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.49 : 1,205.96 = 766.79 : x
  2. Step 2: Convert to fraction form
    872.49/1,205.96 = 766.79/x
  3. Step 3: Cross multiply
    872.49x = 1,205.96 × 766.79
  4. Step 4: Simplify right side
    872.49x = 924,712.73
  5. Step 5: Solve for x
    x = 924,712.73/872.49
  6. Step 6: Final answer
    x = 1,059.85

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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.