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Finding the Fourth Proportional to 573.27, 791.14 and 324.49

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Solution

The fourth proportional to 573.27, 791.14 and 324.49 is: 447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.27 : 791.14 = 324.49 : x
  2. Step 2: Convert to fraction form
    573.27/791.14 = 324.49/x
  3. Step 3: Cross multiply
    573.27x = 791.14 × 324.49
  4. Step 4: Simplify right side
    573.27x = 256,717.02
  5. Step 5: Solve for x
    x = 256,717.02/573.27
  6. Step 6: Final answer
    x = 447.81

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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.