Home / 1,163.11-1,743.85-432.49

Finding the Fourth Proportional to 1,163.11, 1,743.85 and 432.49

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Solution

The fourth proportional to 1,163.11, 1,743.85 and 432.49 is: 648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.11 : 1,743.85 = 432.49 : x
  2. Step 2: Convert to fraction form
    1,163.11/1,743.85 = 432.49/x
  3. Step 3: Cross multiply
    1,163.11x = 1,743.85 × 432.49
  4. Step 4: Simplify right side
    1,163.11x = 754,197.69
  5. Step 5: Solve for x
    x = 754,197.69/1,163.11
  6. Step 6: Final answer
    x = 648.43

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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.