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Finding the Fourth Proportional to 674.40, 1,010.90 and 327.22

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Solution

The fourth proportional to 674.40, 1,010.90 and 327.22 is: 490.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.40 : 1,010.90 = 327.22 : x
  2. Step 2: Convert to fraction form
    674.40/1,010.90 = 327.22/x
  3. Step 3: Cross multiply
    674.40x = 1,010.90 × 327.22
  4. Step 4: Simplify right side
    674.40x = 330,786.70
  5. Step 5: Solve for x
    x = 330,786.70/674.40
  6. Step 6: Final answer
    x = 490.49

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1.5x scale

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.