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Finding the Fourth Proportional to 540.87, 809.95 and 377.79

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Solution

The fourth proportional to 540.87, 809.95 and 377.79 is: 565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.87 : 809.95 = 377.79 : x
  2. Step 2: Convert to fraction form
    540.87/809.95 = 377.79/x
  3. Step 3: Cross multiply
    540.87x = 809.95 × 377.79
  4. Step 4: Simplify right side
    540.87x = 305,991.01
  5. Step 5: Solve for x
    x = 305,991.01/540.87
  6. Step 6: Final answer
    x = 565.74

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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.