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Finding the Fourth Proportional to 781.36, 1,077.93 and 449.71

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Solution

The fourth proportional to 781.36, 1,077.93 and 449.71 is: 620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.36 : 1,077.93 = 449.71 : x
  2. Step 2: Convert to fraction form
    781.36/1,077.93 = 449.71/x
  3. Step 3: Cross multiply
    781.36x = 1,077.93 × 449.71
  4. Step 4: Simplify right side
    781.36x = 484,753.21
  5. Step 5: Solve for x
    x = 484,753.21/781.36
  6. Step 6: Final answer
    x = 620.40

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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.