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Finding the Fourth Proportional to 874.19, 1,310.37 and 326.15

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Solution

The fourth proportional to 874.19, 1,310.37 and 326.15 is: 488.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.19 : 1,310.37 = 326.15 : x
  2. Step 2: Convert to fraction form
    874.19/1,310.37 = 326.15/x
  3. Step 3: Cross multiply
    874.19x = 1,310.37 × 326.15
  4. Step 4: Simplify right side
    874.19x = 427,374.31
  5. Step 5: Solve for x
    x = 427,374.31/874.19
  6. Step 6: Final answer
    x = 488.88

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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.