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Finding the Fourth Proportional to 843.26, 1,163.37 and 511.56

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Solution

The fourth proportional to 843.26, 1,163.37 and 511.56 is: 705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.26 : 1,163.37 = 511.56 : x
  2. Step 2: Convert to fraction form
    843.26/1,163.37 = 511.56/x
  3. Step 3: Cross multiply
    843.26x = 1,163.37 × 511.56
  4. Step 4: Simplify right side
    843.26x = 595,135.48
  5. Step 5: Solve for x
    x = 595,135.48/843.26
  6. Step 6: Final answer
    x = 705.76

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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.