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Finding the Fourth Proportional to 571.74, 789.04 and 323.09

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Solution

The fourth proportional to 571.74, 789.04 and 323.09 is: 445.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.74 : 789.04 = 323.09 : x
  2. Step 2: Convert to fraction form
    571.74/789.04 = 323.09/x
  3. Step 3: Cross multiply
    571.74x = 789.04 × 323.09
  4. Step 4: Simplify right side
    571.74x = 254,927.80
  5. Step 5: Solve for x
    x = 254,927.80/571.74
  6. Step 6: Final answer
    x = 445.88

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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.