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Finding the Fourth Proportional to 782.50, 1,081.31 and 676.79

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Solution

The fourth proportional to 782.50, 1,081.31 and 676.79 is: 935.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.50 : 1,081.31 = 676.79 : x
  2. Step 2: Convert to fraction form
    782.50/1,081.31 = 676.79/x
  3. Step 3: Cross multiply
    782.50x = 1,081.31 × 676.79
  4. Step 4: Simplify right side
    782.50x = 731,819.11
  5. Step 5: Solve for x
    x = 731,819.11/782.50
  6. Step 6: Final answer
    x = 935.24

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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.