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Finding the Fourth Proportional to 862.59, 1,286.46 and 779.55

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Solution

The fourth proportional to 862.59, 1,286.46 and 779.55 is: 1,162.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.59 : 1,286.46 = 779.55 : x
  2. Step 2: Convert to fraction form
    862.59/1,286.46 = 779.55/x
  3. Step 3: Cross multiply
    862.59x = 1,286.46 × 779.55
  4. Step 4: Simplify right side
    862.59x = 1,002,859.89
  5. Step 5: Solve for x
    x = 1,002,859.89/862.59
  6. Step 6: Final answer
    x = 1,162.61

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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.