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Finding the Fourth Proportional to 823.22, 1,137.49 and 610.22

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Solution

The fourth proportional to 823.22, 1,137.49 and 610.22 is: 843.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.22 : 1,137.49 = 610.22 : x
  2. Step 2: Convert to fraction form
    823.22/1,137.49 = 610.22/x
  3. Step 3: Cross multiply
    823.22x = 1,137.49 × 610.22
  4. Step 4: Simplify right side
    823.22x = 694,120.47
  5. Step 5: Solve for x
    x = 694,120.47/823.22
  6. Step 6: Final answer
    x = 843.18

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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.