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Finding the Fourth Proportional to 571.82, 789.11 and 323.18

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Solution

The fourth proportional to 571.82, 789.11 and 323.18 is: 445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.82 : 789.11 = 323.18 : x
  2. Step 2: Convert to fraction form
    571.82/789.11 = 323.18/x
  3. Step 3: Cross multiply
    571.82x = 789.11 × 323.18
  4. Step 4: Simplify right side
    571.82x = 255,019.01
  5. Step 5: Solve for x
    x = 255,019.01/571.82
  6. Step 6: Final answer
    x = 445.98

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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.