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Finding the Fourth Proportional to 467.40, 644.76 and 327.73

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Solution

The fourth proportional to 467.40, 644.76 and 327.73 is: 452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.40 : 644.76 = 327.73 : x
  2. Step 2: Convert to fraction form
    467.40/644.76 = 327.73/x
  3. Step 3: Cross multiply
    467.40x = 644.76 × 327.73
  4. Step 4: Simplify right side
    467.40x = 211,306.79
  5. Step 5: Solve for x
    x = 211,306.79/467.40
  6. Step 6: Final answer
    x = 452.09

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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.