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Finding the Fourth Proportional to 571.57, 789.17 and 350.81

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Solution

The fourth proportional to 571.57, 789.17 and 350.81 is: 484.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.57 : 789.17 = 350.81 : x
  2. Step 2: Convert to fraction form
    571.57/789.17 = 350.81/x
  3. Step 3: Cross multiply
    571.57x = 789.17 × 350.81
  4. Step 4: Simplify right side
    571.57x = 276,843.03
  5. Step 5: Solve for x
    x = 276,843.03/571.57
  6. Step 6: Final answer
    x = 484.36

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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.