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Finding the Fourth Proportional to 571.86, 789.17 and 309.88

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Solution

The fourth proportional to 571.86, 789.17 and 309.88 is: 427.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.86 : 789.17 = 309.88 : x
  2. Step 2: Convert to fraction form
    571.86/789.17 = 309.88/x
  3. Step 3: Cross multiply
    571.86x = 789.17 × 309.88
  4. Step 4: Simplify right side
    571.86x = 244,546.80
  5. Step 5: Solve for x
    x = 244,546.80/571.86
  6. Step 6: Final answer
    x = 427.63

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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.