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Finding the Fourth Proportional to 467.87, 644.97 and 327.54

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Solution

The fourth proportional to 467.87, 644.97 and 327.54 is: 451.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.87 : 644.97 = 327.54 : x
  2. Step 2: Convert to fraction form
    467.87/644.97 = 327.54/x
  3. Step 3: Cross multiply
    467.87x = 644.97 × 327.54
  4. Step 4: Simplify right side
    467.87x = 211,253.47
  5. Step 5: Solve for x
    x = 211,253.47/467.87
  6. Step 6: Final answer
    x = 451.53

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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.