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Finding the Fourth Proportional to 571.91, 789.24 and 309.93

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Solution

The fourth proportional to 571.91, 789.24 and 309.93 is: 427.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.91 : 789.24 = 309.93 : x
  2. Step 2: Convert to fraction form
    571.91/789.24 = 309.93/x
  3. Step 3: Cross multiply
    571.91x = 789.24 × 309.93
  4. Step 4: Simplify right side
    571.91x = 244,609.15
  5. Step 5: Solve for x
    x = 244,609.15/571.91
  6. Step 6: Final answer
    x = 427.71

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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.