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Finding the Fourth Proportional to 2,170.92, 3,255.80 and 610.83

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Solution

The fourth proportional to 2,170.92, 3,255.80 and 610.83 is: 916.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.92 : 3,255.80 = 610.83 : x
  2. Step 2: Convert to fraction form
    2,170.92/3,255.80 = 610.83/x
  3. Step 3: Cross multiply
    2,170.92x = 3,255.80 × 610.83
  4. Step 4: Simplify right side
    2,170.92x = 1,988,737.26
  5. Step 5: Solve for x
    x = 1,988,737.26/2,170.92
  6. Step 6: Final answer
    x = 916.08

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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.