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Finding the Fourth Proportional to 571.91, 789.18 and 323.20

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Solution

The fourth proportional to 571.91, 789.18 and 323.20 is: 445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.91 : 789.18 = 323.20 : x
  2. Step 2: Convert to fraction form
    571.91/789.18 = 323.20/x
  3. Step 3: Cross multiply
    571.91x = 789.18 × 323.20
  4. Step 4: Simplify right side
    571.91x = 255,059.03
  5. Step 5: Solve for x
    x = 255,059.03/571.91
  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.