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Finding the Fourth Proportional to 463.58, 638.66 and 323.45

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Solution

The fourth proportional to 463.58, 638.66 and 323.45 is: 445.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.58 : 638.66 = 323.45 : x
  2. Step 2: Convert to fraction form
    463.58/638.66 = 323.45/x
  3. Step 3: Cross multiply
    463.58x = 638.66 × 323.45
  4. Step 4: Simplify right side
    463.58x = 206,571.41
  5. Step 5: Solve for x
    x = 206,571.41/463.58
  6. Step 6: Final answer
    x = 445.60

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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.