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Finding the Fourth Proportional to 781.13, 1,077.86 and 449.43

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Solution

The fourth proportional to 781.13, 1,077.86 and 449.43 is: 620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.13 : 1,077.86 = 449.43 : x
  2. Step 2: Convert to fraction form
    781.13/1,077.86 = 449.43/x
  3. Step 3: Cross multiply
    781.13x = 1,077.86 × 449.43
  4. Step 4: Simplify right side
    781.13x = 484,420.37
  5. Step 5: Solve for x
    x = 484,420.37/781.13
  6. Step 6: Final answer
    x = 620.16

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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.