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Finding the Fourth Proportional to 674.89, 1,010.97 and 327.20

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Solution

The fourth proportional to 674.89, 1,010.97 and 327.20 is: 490.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.89 : 1,010.97 = 327.20 : x
  2. Step 2: Convert to fraction form
    674.89/1,010.97 = 327.20/x
  3. Step 3: Cross multiply
    674.89x = 1,010.97 × 327.20
  4. Step 4: Simplify right side
    674.89x = 330,786.65
  5. Step 5: Solve for x
    x = 330,786.65/674.89
  6. Step 6: Final answer
    x = 490.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.