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Finding the Fourth Proportional to 594.33, 819.55 and 408.09

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Solution

The fourth proportional to 594.33, 819.55 and 408.09 is: 562.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.33 : 819.55 = 408.09 : x
  2. Step 2: Convert to fraction form
    594.33/819.55 = 408.09/x
  3. Step 3: Cross multiply
    594.33x = 819.55 × 408.09
  4. Step 4: Simplify right side
    594.33x = 334,450.16
  5. Step 5: Solve for x
    x = 334,450.16/594.33
  6. Step 6: Final answer
    x = 562.73

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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.