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Finding the Fourth Proportional to 1,452.25, 2,178.48 and 871.21

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Solution

The fourth proportional to 1,452.25, 2,178.48 and 871.21 is: 1,306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.25 : 2,178.48 = 871.21 : x
  2. Step 2: Convert to fraction form
    1,452.25/2,178.48 = 871.21/x
  3. Step 3: Cross multiply
    1,452.25x = 2,178.48 × 871.21
  4. Step 4: Simplify right side
    1,452.25x = 1,897,902.67
  5. Step 5: Solve for x
    x = 1,897,902.67/1,452.25
  6. Step 6: Final answer
    x = 1,306.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.