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Finding the Fourth Proportional to 574.51, 791.49 and 543.73

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Solution

The fourth proportional to 574.51, 791.49 and 543.73 is: 749.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.51 : 791.49 = 543.73 : x
  2. Step 2: Convert to fraction form
    574.51/791.49 = 543.73/x
  3. Step 3: Cross multiply
    574.51x = 791.49 × 543.73
  4. Step 4: Simplify right side
    574.51x = 430,356.86
  5. Step 5: Solve for x
    x = 430,356.86/574.51
  6. Step 6: Final answer
    x = 749.09

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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.