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Finding the Fourth Proportional to 481.69, 721 and 399.07

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Solution

The fourth proportional to 481.69, 721 and 399.07 is: 597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.69 : 721 = 399.07 : x
  2. Step 2: Convert to fraction form
    481.69/721 = 399.07/x
  3. Step 3: Cross multiply
    481.69x = 721 × 399.07
  4. Step 4: Simplify right side
    481.69x = 287,729.47
  5. Step 5: Solve for x
    x = 287,729.47/481.69
  6. Step 6: Final answer
    x = 597.33

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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.