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Finding the Fourth Proportional to 529.82, 791.38 and 447.80

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Solution

The fourth proportional to 529.82, 791.38 and 447.80 is: 668.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.82 : 791.38 = 447.80 : x
  2. Step 2: Convert to fraction form
    529.82/791.38 = 447.80/x
  3. Step 3: Cross multiply
    529.82x = 791.38 × 447.80
  4. Step 4: Simplify right side
    529.82x = 354,380.82
  5. Step 5: Solve for x
    x = 354,380.82/529.82
  6. Step 6: Final answer
    x = 668.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.