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Finding the Fourth Proportional to 464.67, 640.16 and 324.54

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Solution

The fourth proportional to 464.67, 640.16 and 324.54 is: 447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.67 : 640.16 = 324.54 : x
  2. Step 2: Convert to fraction form
    464.67/640.16 = 324.54/x
  3. Step 3: Cross multiply
    464.67x = 640.16 × 324.54
  4. Step 4: Simplify right side
    464.67x = 207,755.90
  5. Step 5: Solve for x
    x = 207,755.90/464.67
  6. Step 6: Final answer
    x = 447.10

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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.