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Finding the Fourth Proportional to 540.56, 809.40 and 396.56

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Solution

The fourth proportional to 540.56, 809.40 and 396.56 is: 593.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.56 : 809.40 = 396.56 : x
  2. Step 2: Convert to fraction form
    540.56/809.40 = 396.56/x
  3. Step 3: Cross multiply
    540.56x = 809.40 × 396.56
  4. Step 4: Simplify right side
    540.56x = 320,975.66
  5. Step 5: Solve for x
    x = 320,975.66/540.56
  6. Step 6: Final answer
    x = 593.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.