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Finding the Fourth Proportional to 874.25, 1,311.61 and 326.44

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Solution

The fourth proportional to 874.25, 1,311.61 and 326.44 is: 489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.25 : 1,311.61 = 326.44 : x
  2. Step 2: Convert to fraction form
    874.25/1,311.61 = 326.44/x
  3. Step 3: Cross multiply
    874.25x = 1,311.61 × 326.44
  4. Step 4: Simplify right side
    874.25x = 428,160.34
  5. Step 5: Solve for x
    x = 428,160.34/874.25
  6. Step 6: Final answer
    x = 489.75

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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.