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Finding the Fourth Proportional to 781.15, 1,077.87 and 449.59

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Solution

The fourth proportional to 781.15, 1,077.87 and 449.59 is: 620.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.15 : 1,077.87 = 449.59 : x
  2. Step 2: Convert to fraction form
    781.15/1,077.87 = 449.59/x
  3. Step 3: Cross multiply
    781.15x = 1,077.87 × 449.59
  4. Step 4: Simplify right side
    781.15x = 484,599.57
  5. Step 5: Solve for x
    x = 484,599.57/781.15
  6. Step 6: Final answer
    x = 620.37

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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.