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Finding the Fourth Proportional to 540.80, 809.79 and 376.04

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Solution

The fourth proportional to 540.80, 809.79 and 376.04 is: 563.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.80 : 809.79 = 376.04 : x
  2. Step 2: Convert to fraction form
    540.80/809.79 = 376.04/x
  3. Step 3: Cross multiply
    540.80x = 809.79 × 376.04
  4. Step 4: Simplify right side
    540.80x = 304,509.38
  5. Step 5: Solve for x
    x = 304,509.38/540.80
  6. Step 6: Final answer
    x = 563.08

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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.