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Finding the Fourth Proportional to 1,163.21, 1,744.97 and 547.05

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Solution

The fourth proportional to 1,163.21, 1,744.97 and 547.05 is: 820.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.21 : 1,744.97 = 547.05 : x
  2. Step 2: Convert to fraction form
    1,163.21/1,744.97 = 547.05/x
  3. Step 3: Cross multiply
    1,163.21x = 1,744.97 × 547.05
  4. Step 4: Simplify right side
    1,163.21x = 954,591.19
  5. Step 5: Solve for x
    x = 954,591.19/1,163.21
  6. Step 6: Final answer
    x = 820.65

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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.