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Finding the Fourth Proportional to 2,203.22, 3,305.42 and 797.78

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Solution

The fourth proportional to 2,203.22, 3,305.42 and 797.78 is: 1,196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.22 : 3,305.42 = 797.78 : x
  2. Step 2: Convert to fraction form
    2,203.22/3,305.42 = 797.78/x
  3. Step 3: Cross multiply
    2,203.22x = 3,305.42 × 797.78
  4. Step 4: Simplify right side
    2,203.22x = 2,636,997.97
  5. Step 5: Solve for x
    x = 2,636,997.97/2,203.22
  6. Step 6: Final answer
    x = 1,196.88

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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.