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Finding the Fourth Proportional to 871.28, 1,202.62 and 827.18

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Solution

The fourth proportional to 871.28, 1,202.62 and 827.18 is: 1,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.28 : 1,202.62 = 827.18 : x
  2. Step 2: Convert to fraction form
    871.28/1,202.62 = 827.18/x
  3. Step 3: Cross multiply
    871.28x = 1,202.62 × 827.18
  4. Step 4: Simplify right side
    871.28x = 994,783.21
  5. Step 5: Solve for x
    x = 994,783.21/871.28
  6. Step 6: Final answer
    x = 1,141.75

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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.