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Finding the Fourth Proportional to 1,221.92, 1,832.90 and 400.19

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Solution

The fourth proportional to 1,221.92, 1,832.90 and 400.19 is: 600.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.92 : 1,832.90 = 400.19 : x
  2. Step 2: Convert to fraction form
    1,221.92/1,832.90 = 400.19/x
  3. Step 3: Cross multiply
    1,221.92x = 1,832.90 × 400.19
  4. Step 4: Simplify right side
    1,221.92x = 733,497.09
  5. Step 5: Solve for x
    x = 733,497.09/1,221.92
  6. Step 6: Final answer
    x = 600.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.