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Finding the Fourth Proportional to 1,102.20, 1,652.22 and 408.68

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Solution

The fourth proportional to 1,102.20, 1,652.22 and 408.68 is: 612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.20 : 1,652.22 = 408.68 : x
  2. Step 2: Convert to fraction form
    1,102.20/1,652.22 = 408.68/x
  3. Step 3: Cross multiply
    1,102.20x = 1,652.22 × 408.68
  4. Step 4: Simplify right side
    1,102.20x = 675,229.27
  5. Step 5: Solve for x
    x = 675,229.27/1,102.20
  6. Step 6: Final answer
    x = 612.62

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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.