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Finding the Fourth Proportional to 571.82, 789.16 and 323.14

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Solution

The fourth proportional to 571.82, 789.16 and 323.14 is: 445.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.82 : 789.16 = 323.14 : x
  2. Step 2: Convert to fraction form
    571.82/789.16 = 323.14/x
  3. Step 3: Cross multiply
    571.82x = 789.16 × 323.14
  4. Step 4: Simplify right side
    571.82x = 255,011.98
  5. Step 5: Solve for x
    x = 255,011.98/571.82
  6. Step 6: Final answer
    x = 445.96

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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.