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Finding the Fourth Proportional to 573.24, 791.07 and 311.25

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Solution

The fourth proportional to 573.24, 791.07 and 311.25 is: 429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.24 : 791.07 = 311.25 : x
  2. Step 2: Convert to fraction form
    573.24/791.07 = 311.25/x
  3. Step 3: Cross multiply
    573.24x = 791.07 × 311.25
  4. Step 4: Simplify right side
    573.24x = 246,220.54
  5. Step 5: Solve for x
    x = 246,220.54/573.24
  6. Step 6: Final answer
    x = 429.52

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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.