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Finding the Fourth Proportional to 584.22, 806.32 and 409.44

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Solution

The fourth proportional to 584.22, 806.32 and 409.44 is: 565.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.22 : 806.32 = 409.44 : x
  2. Step 2: Convert to fraction form
    584.22/806.32 = 409.44/x
  3. Step 3: Cross multiply
    584.22x = 806.32 × 409.44
  4. Step 4: Simplify right side
    584.22x = 330,139.66
  5. Step 5: Solve for x
    x = 330,139.66/584.22
  6. Step 6: Final answer
    x = 565.09

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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.