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Finding the Fourth Proportional to 2,254.72, 3,382.32 and 611.28

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Solution

The fourth proportional to 2,254.72, 3,382.32 and 611.28 is: 916.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.72 : 3,382.32 = 611.28 : x
  2. Step 2: Convert to fraction form
    2,254.72/3,382.32 = 611.28/x
  3. Step 3: Cross multiply
    2,254.72x = 3,382.32 × 611.28
  4. Step 4: Simplify right side
    2,254.72x = 2,067,544.57
  5. Step 5: Solve for x
    x = 2,067,544.57/2,254.72
  6. Step 6: Final answer
    x = 916.99

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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.