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Finding the Fourth Proportional to 822.26, 1,135.26 and 635.42

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Solution

The fourth proportional to 822.26, 1,135.26 and 635.42 is: 877.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.26 : 1,135.26 = 635.42 : x
  2. Step 2: Convert to fraction form
    822.26/1,135.26 = 635.42/x
  3. Step 3: Cross multiply
    822.26x = 1,135.26 × 635.42
  4. Step 4: Simplify right side
    822.26x = 721,366.91
  5. Step 5: Solve for x
    x = 721,366.91/822.26
  6. Step 6: Final answer
    x = 877.30

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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.