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Finding the Fourth Proportional to 822.31, 1,134.78 and 449.29

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Solution

The fourth proportional to 822.31, 1,134.78 and 449.29 is: 620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.31 : 1,134.78 = 449.29 : x
  2. Step 2: Convert to fraction form
    822.31/1,134.78 = 449.29/x
  3. Step 3: Cross multiply
    822.31x = 1,134.78 × 449.29
  4. Step 4: Simplify right side
    822.31x = 509,845.31
  5. Step 5: Solve for x
    x = 509,845.31/822.31
  6. Step 6: Final answer
    x = 620.02

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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.