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Finding the Fourth Proportional to 573.50, 791.47 and 324.88

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Solution

The fourth proportional to 573.50, 791.47 and 324.88 is: 448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.50 : 791.47 = 324.88 : x
  2. Step 2: Convert to fraction form
    573.50/791.47 = 324.88/x
  3. Step 3: Cross multiply
    573.50x = 791.47 × 324.88
  4. Step 4: Simplify right side
    573.50x = 257,131.20
  5. Step 5: Solve for x
    x = 257,131.20/573.50
  6. Step 6: Final answer
    x = 448.36

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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.