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Finding the Fourth Proportional to 522.19, 778.49 and 481.09

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Solution

The fourth proportional to 522.19, 778.49 and 481.09 is: 717.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.19 : 778.49 = 481.09 : x
  2. Step 2: Convert to fraction form
    522.19/778.49 = 481.09/x
  3. Step 3: Cross multiply
    522.19x = 778.49 × 481.09
  4. Step 4: Simplify right side
    522.19x = 374,523.75
  5. Step 5: Solve for x
    x = 374,523.75/522.19
  6. Step 6: Final answer
    x = 717.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.