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Finding the Fourth Proportional to 800.11, 1,198.33 and 719.92

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Solution

The fourth proportional to 800.11, 1,198.33 and 719.92 is: 1,078.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.11 : 1,198.33 = 719.92 : x
  2. Step 2: Convert to fraction form
    800.11/1,198.33 = 719.92/x
  3. Step 3: Cross multiply
    800.11x = 1,198.33 × 719.92
  4. Step 4: Simplify right side
    800.11x = 862,701.73
  5. Step 5: Solve for x
    x = 862,701.73/800.11
  6. Step 6: Final answer
    x = 1,078.23

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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.