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Finding the Fourth Proportional to 571.82, 789.04 and 323.09

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Solution

The fourth proportional to 571.82, 789.04 and 323.09 is: 445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.82 : 789.04 = 323.09 : x
  2. Step 2: Convert to fraction form
    571.82/789.04 = 323.09/x
  3. Step 3: Cross multiply
    571.82x = 789.04 × 323.09
  4. Step 4: Simplify right side
    571.82x = 254,930.35
  5. Step 5: Solve for x
    x = 254,930.35/571.82
  6. Step 6: Final answer
    x = 445.83

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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.