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Finding the Fourth Proportional to 463.72, 640.14 and 324.30

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Solution

The fourth proportional to 463.72, 640.14 and 324.30 is: 447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.72 : 640.14 = 324.30 : x
  2. Step 2: Convert to fraction form
    463.72/640.14 = 324.30/x
  3. Step 3: Cross multiply
    463.72x = 640.14 × 324.30
  4. Step 4: Simplify right side
    463.72x = 207,597.40
  5. Step 5: Solve for x
    x = 207,597.40/463.72
  6. Step 6: Final answer
    x = 447.68

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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.