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Finding the Fourth Proportional to 781.05, 1,077.74 and 449.42

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Solution

The fourth proportional to 781.05, 1,077.74 and 449.42 is: 620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.05 : 1,077.74 = 449.42 : x
  2. Step 2: Convert to fraction form
    781.05/1,077.74 = 449.42/x
  3. Step 3: Cross multiply
    781.05x = 1,077.74 × 449.42
  4. Step 4: Simplify right side
    781.05x = 484,351.96
  5. Step 5: Solve for x
    x = 484,351.96/781.05
  6. Step 6: Final answer
    x = 620.13

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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.