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Finding the Fourth Proportional to 571.74, 789.47 and 385.85

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Solution

The fourth proportional to 571.74, 789.47 and 385.85 is: 532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.74 : 789.47 = 385.85 : x
  2. Step 2: Convert to fraction form
    571.74/789.47 = 385.85/x
  3. Step 3: Cross multiply
    571.74x = 789.47 × 385.85
  4. Step 4: Simplify right side
    571.74x = 304,611.12
  5. Step 5: Solve for x
    x = 304,611.12/571.74
  6. Step 6: Final answer
    x = 532.78

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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.