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Finding the Fourth Proportional to 1,163.05, 1,744.44 and 432.43

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Solution

The fourth proportional to 1,163.05, 1,744.44 and 432.43 is: 648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.05 : 1,744.44 = 432.43 : x
  2. Step 2: Convert to fraction form
    1,163.05/1,744.44 = 432.43/x
  3. Step 3: Cross multiply
    1,163.05x = 1,744.44 × 432.43
  4. Step 4: Simplify right side
    1,163.05x = 754,342.21
  5. Step 5: Solve for x
    x = 754,342.21/1,163.05
  6. Step 6: Final answer
    x = 648.59

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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.