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Finding the Fourth Proportional to 2,255.04, 3,382.74 and 611.73

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Solution

The fourth proportional to 2,255.04, 3,382.74 and 611.73 is: 917.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.04 : 3,382.74 = 611.73 : x
  2. Step 2: Convert to fraction form
    2,255.04/3,382.74 = 611.73/x
  3. Step 3: Cross multiply
    2,255.04x = 3,382.74 × 611.73
  4. Step 4: Simplify right side
    2,255.04x = 2,069,323.54
  5. Step 5: Solve for x
    x = 2,069,323.54/2,255.04
  6. Step 6: Final answer
    x = 917.64

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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.