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Finding the Fourth Proportional to 471.62, 708.28 and 327.62

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Solution

The fourth proportional to 471.62, 708.28 and 327.62 is: 492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.62 : 708.28 = 327.62 : x
  2. Step 2: Convert to fraction form
    471.62/708.28 = 327.62/x
  3. Step 3: Cross multiply
    471.62x = 708.28 × 327.62
  4. Step 4: Simplify right side
    471.62x = 232,046.69
  5. Step 5: Solve for x
    x = 232,046.69/471.62
  6. Step 6: Final answer
    x = 492.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.