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Finding the Fourth Proportional to 1,443.93, 2,163.17 and 712.65

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Solution

The fourth proportional to 1,443.93, 2,163.17 and 712.65 is: 1,067.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.93 : 2,163.17 = 712.65 : x
  2. Step 2: Convert to fraction form
    1,443.93/2,163.17 = 712.65/x
  3. Step 3: Cross multiply
    1,443.93x = 2,163.17 × 712.65
  4. Step 4: Simplify right side
    1,443.93x = 1,541,583.10
  5. Step 5: Solve for x
    x = 1,541,583.10/1,443.93
  6. Step 6: Final answer
    x = 1,067.63

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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.