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Finding the Fourth Proportional to 1,540.74, 2,311.92 and 811.74

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Solution

The fourth proportional to 1,540.74, 2,311.92 and 811.74 is: 1,218.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.74 : 2,311.92 = 811.74 : x
  2. Step 2: Convert to fraction form
    1,540.74/2,311.92 = 811.74/x
  3. Step 3: Cross multiply
    1,540.74x = 2,311.92 × 811.74
  4. Step 4: Simplify right side
    1,540.74x = 1,876,677.94
  5. Step 5: Solve for x
    x = 1,876,677.94/1,540.74
  6. Step 6: Final answer
    x = 1,218.04

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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.