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Finding the Fourth Proportional to 879.87, 1,213.22 and 600.27

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Solution

The fourth proportional to 879.87, 1,213.22 and 600.27 is: 827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.87 : 1,213.22 = 600.27 : x
  2. Step 2: Convert to fraction form
    879.87/1,213.22 = 600.27/x
  3. Step 3: Cross multiply
    879.87x = 1,213.22 × 600.27
  4. Step 4: Simplify right side
    879.87x = 728,259.57
  5. Step 5: Solve for x
    x = 728,259.57/879.87
  6. Step 6: Final answer
    x = 827.69

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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.