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Finding the Fourth Proportional to 778.27, 1,168.04 and 449.56

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Solution

The fourth proportional to 778.27, 1,168.04 and 449.56 is: 674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.27 : 1,168.04 = 449.56 : x
  2. Step 2: Convert to fraction form
    778.27/1,168.04 = 449.56/x
  3. Step 3: Cross multiply
    778.27x = 1,168.04 × 449.56
  4. Step 4: Simplify right side
    778.27x = 525,104.06
  5. Step 5: Solve for x
    x = 525,104.06/778.27
  6. Step 6: Final answer
    x = 674.71

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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.