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Finding the Fourth Proportional to 522.20, 782.83 and 197.34

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Solution

The fourth proportional to 522.20, 782.83 and 197.34 is: 295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.20 : 782.83 = 197.34 : x
  2. Step 2: Convert to fraction form
    522.20/782.83 = 197.34/x
  3. Step 3: Cross multiply
    522.20x = 782.83 × 197.34
  4. Step 4: Simplify right side
    522.20x = 154,480.98
  5. Step 5: Solve for x
    x = 154,480.98/522.20
  6. Step 6: Final answer
    x = 295.83

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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.