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Finding the Fourth Proportional to 584.20, 806.22 and 335.56

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Solution

The fourth proportional to 584.20, 806.22 and 335.56 is: 463.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.20 : 806.22 = 335.56 : x
  2. Step 2: Convert to fraction form
    584.20/806.22 = 335.56/x
  3. Step 3: Cross multiply
    584.20x = 806.22 × 335.56
  4. Step 4: Simplify right side
    584.20x = 270,535.18
  5. Step 5: Solve for x
    x = 270,535.18/584.20
  6. Step 6: Final answer
    x = 463.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.