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Finding the Fourth Proportional to 863.86, 1,301.60 and 781.69

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Solution

The fourth proportional to 863.86, 1,301.60 and 781.69 is: 1,177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.86 : 1,301.60 = 781.69 : x
  2. Step 2: Convert to fraction form
    863.86/1,301.60 = 781.69/x
  3. Step 3: Cross multiply
    863.86x = 1,301.60 × 781.69
  4. Step 4: Simplify right side
    863.86x = 1,017,447.70
  5. Step 5: Solve for x
    x = 1,017,447.70/863.86
  6. Step 6: Final answer
    x = 1,177.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.