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Finding the Fourth Proportional to 781.60, 1,167.25 and 679.20

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Solution

The fourth proportional to 781.60, 1,167.25 and 679.20 is: 1,014.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.60 : 1,167.25 = 679.20 : x
  2. Step 2: Convert to fraction form
    781.60/1,167.25 = 679.20/x
  3. Step 3: Cross multiply
    781.60x = 1,167.25 × 679.20
  4. Step 4: Simplify right side
    781.60x = 792,796.20
  5. Step 5: Solve for x
    x = 792,796.20/781.60
  6. Step 6: Final answer
    x = 1,014.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.