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Finding the Fourth Proportional to 843.25, 1,163.87 and 532.93

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Solution

The fourth proportional to 843.25, 1,163.87 and 532.93 is: 735.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.25 : 1,163.87 = 532.93 : x
  2. Step 2: Convert to fraction form
    843.25/1,163.87 = 532.93/x
  3. Step 3: Cross multiply
    843.25x = 1,163.87 × 532.93
  4. Step 4: Simplify right side
    843.25x = 620,261.24
  5. Step 5: Solve for x
    x = 620,261.24/843.25
  6. Step 6: Final answer
    x = 735.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.