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Finding the Fourth Proportional to 2,255.10, 3,382.23 and 611.77

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Solution

The fourth proportional to 2,255.10, 3,382.23 and 611.77 is: 917.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.10 : 3,382.23 = 611.77 : x
  2. Step 2: Convert to fraction form
    2,255.10/3,382.23 = 611.77/x
  3. Step 3: Cross multiply
    2,255.10x = 3,382.23 × 611.77
  4. Step 4: Simplify right side
    2,255.10x = 2,069,146.85
  5. Step 5: Solve for x
    x = 2,069,146.85/2,255.10
  6. Step 6: Final answer
    x = 917.54

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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.