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Finding the Fourth Proportional to 2,254.73, 3,382.11 and 611.30

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Solution

The fourth proportional to 2,254.73, 3,382.11 and 611.30 is: 916.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.73 : 3,382.11 = 611.30 : x
  2. Step 2: Convert to fraction form
    2,254.73/3,382.11 = 611.30/x
  3. Step 3: Cross multiply
    2,254.73x = 3,382.11 × 611.30
  4. Step 4: Simplify right side
    2,254.73x = 2,067,492.30
  5. Step 5: Solve for x
    x = 2,067,492.30/2,254.73
  6. Step 6: Final answer
    x = 916.96

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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.