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Finding the Fourth Proportional to 571.94, 789.27 and 309.95

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Solution

The fourth proportional to 571.94, 789.27 and 309.95 is: 427.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.94 : 789.27 = 309.95 : x
  2. Step 2: Convert to fraction form
    571.94/789.27 = 309.95/x
  3. Step 3: Cross multiply
    571.94x = 789.27 × 309.95
  4. Step 4: Simplify right side
    571.94x = 244,634.24
  5. Step 5: Solve for x
    x = 244,634.24/571.94
  6. Step 6: Final answer
    x = 427.73

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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.