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Finding the Fourth Proportional to 871.93, 1,196.96 and 863.73

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Solution

The fourth proportional to 871.93, 1,196.96 and 863.73 is: 1,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.93 : 1,196.96 = 863.73 : x
  2. Step 2: Convert to fraction form
    871.93/1,196.96 = 863.73/x
  3. Step 3: Cross multiply
    871.93x = 1,196.96 × 863.73
  4. Step 4: Simplify right side
    871.93x = 1,033,850.80
  5. Step 5: Solve for x
    x = 1,033,850.80/871.93
  6. Step 6: Final answer
    x = 1,185.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.