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Finding the Fourth Proportional to 571.87, 789.14 and 323.20

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Solution

The fourth proportional to 571.87, 789.14 and 323.20 is: 445.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.87 : 789.14 = 323.20 : x
  2. Step 2: Convert to fraction form
    571.87/789.14 = 323.20/x
  3. Step 3: Cross multiply
    571.87x = 789.14 × 323.20
  4. Step 4: Simplify right side
    571.87x = 255,050.05
  5. Step 5: Solve for x
    x = 255,050.05/571.87
  6. Step 6: Final answer
    x = 445.99

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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.