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Finding the Fourth Proportional to 1,028.92, 1,540.96 and 811.84

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Solution

The fourth proportional to 1,028.92, 1,540.96 and 811.84 is: 1,215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.92 : 1,540.96 = 811.84 : x
  2. Step 2: Convert to fraction form
    1,028.92/1,540.96 = 811.84/x
  3. Step 3: Cross multiply
    1,028.92x = 1,540.96 × 811.84
  4. Step 4: Simplify right side
    1,028.92x = 1,251,012.97
  5. Step 5: Solve for x
    x = 1,251,012.97/1,028.92
  6. Step 6: Final answer
    x = 1,215.85

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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.