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Finding the Fourth Proportional to 489.38, 674.73 and 323.21

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Solution

The fourth proportional to 489.38, 674.73 and 323.21 is: 445.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.38 : 674.73 = 323.21 : x
  2. Step 2: Convert to fraction form
    489.38/674.73 = 323.21/x
  3. Step 3: Cross multiply
    489.38x = 674.73 × 323.21
  4. Step 4: Simplify right side
    489.38x = 218,081.17
  5. Step 5: Solve for x
    x = 218,081.17/489.38
  6. Step 6: Final answer
    x = 445.63

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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.