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Finding the Fourth Proportional to 781.40, 1,078.08 and 449.63

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Solution

The fourth proportional to 781.40, 1,078.08 and 449.63 is: 620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.40 : 1,078.08 = 449.63 : x
  2. Step 2: Convert to fraction form
    781.40/1,078.08 = 449.63/x
  3. Step 3: Cross multiply
    781.40x = 1,078.08 × 449.63
  4. Step 4: Simplify right side
    781.40x = 484,734.84
  5. Step 5: Solve for x
    x = 484,734.84/781.40
  6. Step 6: Final answer
    x = 620.34

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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.