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Finding the Fourth Proportional to 483.73, 667.71 and 287.24

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Solution

The fourth proportional to 483.73, 667.71 and 287.24 is: 396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.73 : 667.71 = 287.24 : x
  2. Step 2: Convert to fraction form
    483.73/667.71 = 287.24/x
  3. Step 3: Cross multiply
    483.73x = 667.71 × 287.24
  4. Step 4: Simplify right side
    483.73x = 191,789.68
  5. Step 5: Solve for x
    x = 191,789.68/483.73
  6. Step 6: Final answer
    x = 396.48

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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.