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Finding the Fourth Proportional to 822.28, 1,135.29 and 635.44

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Solution

The fourth proportional to 822.28, 1,135.29 and 635.44 is: 877.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.28 : 1,135.29 = 635.44 : x
  2. Step 2: Convert to fraction form
    822.28/1,135.29 = 635.44/x
  3. Step 3: Cross multiply
    822.28x = 1,135.29 × 635.44
  4. Step 4: Simplify right side
    822.28x = 721,408.68
  5. Step 5: Solve for x
    x = 721,408.68/822.28
  6. Step 6: Final answer
    x = 877.33

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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.