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Finding the Fourth Proportional to 480.01, 662.15 and 324.49

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Solution

The fourth proportional to 480.01, 662.15 and 324.49 is: 447.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.01 : 662.15 = 324.49 : x
  2. Step 2: Convert to fraction form
    480.01/662.15 = 324.49/x
  3. Step 3: Cross multiply
    480.01x = 662.15 × 324.49
  4. Step 4: Simplify right side
    480.01x = 214,859.43
  5. Step 5: Solve for x
    x = 214,859.43/480.01
  6. Step 6: Final answer
    x = 447.61

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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.