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Finding the Fourth Proportional to 541.35, 809.79 and 404.05

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Solution

The fourth proportional to 541.35, 809.79 and 404.05 is: 604.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.35 : 809.79 = 404.05 : x
  2. Step 2: Convert to fraction form
    541.35/809.79 = 404.05/x
  3. Step 3: Cross multiply
    541.35x = 809.79 × 404.05
  4. Step 4: Simplify right side
    541.35x = 327,195.65
  5. Step 5: Solve for x
    x = 327,195.65/541.35
  6. Step 6: Final answer
    x = 604.41

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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.