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Finding the Fourth Proportional to 540.81, 809.87 and 377.73

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Solution

The fourth proportional to 540.81, 809.87 and 377.73 is: 565.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.81 : 809.87 = 377.73 : x
  2. Step 2: Convert to fraction form
    540.81/809.87 = 377.73/x
  3. Step 3: Cross multiply
    540.81x = 809.87 × 377.73
  4. Step 4: Simplify right side
    540.81x = 305,910.31
  5. Step 5: Solve for x
    x = 305,910.31/540.81
  6. Step 6: Final answer
    x = 565.65

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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.