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Finding the Fourth Proportional to 1,040.11, 1,433.83 and 744.87

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Solution

The fourth proportional to 1,040.11, 1,433.83 and 744.87 is: 1,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.11 : 1,433.83 = 744.87 : x
  2. Step 2: Convert to fraction form
    1,040.11/1,433.83 = 744.87/x
  3. Step 3: Cross multiply
    1,040.11x = 1,433.83 × 744.87
  4. Step 4: Simplify right side
    1,040.11x = 1,068,016.95
  5. Step 5: Solve for x
    x = 1,068,016.95/1,040.11
  6. Step 6: Final answer
    x = 1,026.83

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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.