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Finding the Fourth Proportional to 781.25, 1,078.27 and 449.68

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Solution

The fourth proportional to 781.25, 1,078.27 and 449.68 is: 620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.25 : 1,078.27 = 449.68 : x
  2. Step 2: Convert to fraction form
    781.25/1,078.27 = 449.68/x
  3. Step 3: Cross multiply
    781.25x = 1,078.27 × 449.68
  4. Step 4: Simplify right side
    781.25x = 484,876.45
  5. Step 5: Solve for x
    x = 484,876.45/781.25
  6. Step 6: Final answer
    x = 620.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.