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Finding the Fourth Proportional to 489.81, 676.49 and 324.75

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Solution

The fourth proportional to 489.81, 676.49 and 324.75 is: 448.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.81 : 676.49 = 324.75 : x
  2. Step 2: Convert to fraction form
    489.81/676.49 = 324.75/x
  3. Step 3: Cross multiply
    489.81x = 676.49 × 324.75
  4. Step 4: Simplify right side
    489.81x = 219,690.13
  5. Step 5: Solve for x
    x = 219,690.13/489.81
  6. Step 6: Final answer
    x = 448.52

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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.