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Finding the Fourth Proportional to 1,163.56, 1,744.80 and 433.12

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Solution

The fourth proportional to 1,163.56, 1,744.80 and 433.12 is: 649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.56 : 1,744.80 = 433.12 : x
  2. Step 2: Convert to fraction form
    1,163.56/1,744.80 = 433.12/x
  3. Step 3: Cross multiply
    1,163.56x = 1,744.80 × 433.12
  4. Step 4: Simplify right side
    1,163.56x = 755,707.78
  5. Step 5: Solve for x
    x = 755,707.78/1,163.56
  6. Step 6: Final answer
    x = 649.48

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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.