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Finding the Fourth Proportional to 2,170.73, 3,255.81 and 610.85

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Solution

The fourth proportional to 2,170.73, 3,255.81 and 610.85 is: 916.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.73 : 3,255.81 = 610.85 : x
  2. Step 2: Convert to fraction form
    2,170.73/3,255.81 = 610.85/x
  3. Step 3: Cross multiply
    2,170.73x = 3,255.81 × 610.85
  4. Step 4: Simplify right side
    2,170.73x = 1,988,811.54
  5. Step 5: Solve for x
    x = 1,988,811.54/2,170.73
  6. Step 6: Final answer
    x = 916.19

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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.