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Finding the Fourth Proportional to 2,254.65, 3,381.98 and 611.20

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Solution

The fourth proportional to 2,254.65, 3,381.98 and 611.20 is: 916.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.65 : 3,381.98 = 611.20 : x
  2. Step 2: Convert to fraction form
    2,254.65/3,381.98 = 611.20/x
  3. Step 3: Cross multiply
    2,254.65x = 3,381.98 × 611.20
  4. Step 4: Simplify right side
    2,254.65x = 2,067,048.32
  5. Step 5: Solve for x
    x = 2,067,048.32/2,254.65
  6. Step 6: Final answer
    x = 916.79

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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.