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Finding the Fourth Proportional to 782.69, 1,171.28 and 738.29

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Solution

The fourth proportional to 782.69, 1,171.28 and 738.29 is: 1,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.69 : 1,171.28 = 738.29 : x
  2. Step 2: Convert to fraction form
    782.69/1,171.28 = 738.29/x
  3. Step 3: Cross multiply
    782.69x = 1,171.28 × 738.29
  4. Step 4: Simplify right side
    782.69x = 864,734.76
  5. Step 5: Solve for x
    x = 864,734.76/782.69
  6. Step 6: Final answer
    x = 1,104.83

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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.