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Finding the Fourth Proportional to 489.75, 676.14 and 324.24

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Solution

The fourth proportional to 489.75, 676.14 and 324.24 is: 447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.75 : 676.14 = 324.24 : x
  2. Step 2: Convert to fraction form
    489.75/676.14 = 324.24/x
  3. Step 3: Cross multiply
    489.75x = 676.14 × 324.24
  4. Step 4: Simplify right side
    489.75x = 219,231.63
  5. Step 5: Solve for x
    x = 219,231.63/489.75
  6. Step 6: Final answer
    x = 447.64

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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.