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Finding the Fourth Proportional to 844.27, 1,165 and 490.31

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Solution

The fourth proportional to 844.27, 1,165 and 490.31 is: 676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.27 : 1,165 = 490.31 : x
  2. Step 2: Convert to fraction form
    844.27/1,165 = 490.31/x
  3. Step 3: Cross multiply
    844.27x = 1,165 × 490.31
  4. Step 4: Simplify right side
    844.27x = 571,211.15
  5. Step 5: Solve for x
    x = 571,211.15/844.27
  6. Step 6: Final answer
    x = 676.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.