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Finding the Fourth Proportional to 481.59, 725.99 and 450.27

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Solution

The fourth proportional to 481.59, 725.99 and 450.27 is: 678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.59 : 725.99 = 450.27 : x
  2. Step 2: Convert to fraction form
    481.59/725.99 = 450.27/x
  3. Step 3: Cross multiply
    481.59x = 725.99 × 450.27
  4. Step 4: Simplify right side
    481.59x = 326,889.27
  5. Step 5: Solve for x
    x = 326,889.27/481.59
  6. Step 6: Final answer
    x = 678.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.