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Finding the Fourth Proportional to 463.61, 638.98 and 323.48

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Solution

The fourth proportional to 463.61, 638.98 and 323.48 is: 445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.61 : 638.98 = 323.48 : x
  2. Step 2: Convert to fraction form
    463.61/638.98 = 323.48/x
  3. Step 3: Cross multiply
    463.61x = 638.98 × 323.48
  4. Step 4: Simplify right side
    463.61x = 206,697.25
  5. Step 5: Solve for x
    x = 206,697.25/463.61
  6. Step 6: Final answer
    x = 445.84

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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.