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Finding the Fourth Proportional to 481.72, 721.62 and 389.96

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Solution

The fourth proportional to 481.72, 721.62 and 389.96 is: 584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.72 : 721.62 = 389.96 : x
  2. Step 2: Convert to fraction form
    481.72/721.62 = 389.96/x
  3. Step 3: Cross multiply
    481.72x = 721.62 × 389.96
  4. Step 4: Simplify right side
    481.72x = 281,402.94
  5. Step 5: Solve for x
    x = 281,402.94/481.72
  6. Step 6: Final answer
    x = 584.16

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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.