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Finding the Fourth Proportional to 974.96, 1,462.80 and 326

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Solution

The fourth proportional to 974.96, 1,462.80 and 326 is: 489.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.96 : 1,462.80 = 326 : x
  2. Step 2: Convert to fraction form
    974.96/1,462.80 = 326/x
  3. Step 3: Cross multiply
    974.96x = 1,462.80 × 326
  4. Step 4: Simplify right side
    974.96x = 476,872.80
  5. Step 5: Solve for x
    x = 476,872.80/974.96
  6. Step 6: Final answer
    x = 489.12

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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.