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Finding the Fourth Proportional to 458.70, 633.20 and 327.89

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Solution

The fourth proportional to 458.70, 633.20 and 327.89 is: 452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.70 : 633.20 = 327.89 : x
  2. Step 2: Convert to fraction form
    458.70/633.20 = 327.89/x
  3. Step 3: Cross multiply
    458.70x = 633.20 × 327.89
  4. Step 4: Simplify right side
    458.70x = 207,615.14
  5. Step 5: Solve for x
    x = 207,615.14/458.70
  6. Step 6: Final answer
    x = 452.62

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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.