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Finding the Fourth Proportional to 1,096.11, 1,512.40 and 797.83

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Solution

The fourth proportional to 1,096.11, 1,512.40 and 797.83 is: 1,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.11 : 1,512.40 = 797.83 : x
  2. Step 2: Convert to fraction form
    1,096.11/1,512.40 = 797.83/x
  3. Step 3: Cross multiply
    1,096.11x = 1,512.40 × 797.83
  4. Step 4: Simplify right side
    1,096.11x = 1,206,638.09
  5. Step 5: Solve for x
    x = 1,206,638.09/1,096.11
  6. Step 6: Final answer
    x = 1,100.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.