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Finding the Fourth Proportional to 1,221.97, 1,833.06 and 400.24

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Solution

The fourth proportional to 1,221.97, 1,833.06 and 400.24 is: 600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.97 : 1,833.06 = 400.24 : x
  2. Step 2: Convert to fraction form
    1,221.97/1,833.06 = 400.24/x
  3. Step 3: Cross multiply
    1,221.97x = 1,833.06 × 400.24
  4. Step 4: Simplify right side
    1,221.97x = 733,663.93
  5. Step 5: Solve for x
    x = 733,663.93/1,221.97
  6. Step 6: Final answer
    x = 600.39

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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.