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Finding the Fourth Proportional to 778.85, 1,174.11 and 727.29

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Solution

The fourth proportional to 778.85, 1,174.11 and 727.29 is: 1,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.85 : 1,174.11 = 727.29 : x
  2. Step 2: Convert to fraction form
    778.85/1,174.11 = 727.29/x
  3. Step 3: Cross multiply
    778.85x = 1,174.11 × 727.29
  4. Step 4: Simplify right side
    778.85x = 853,918.46
  5. Step 5: Solve for x
    x = 853,918.46/778.85
  6. Step 6: Final answer
    x = 1,096.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.