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Finding the Fourth Proportional to 519.61, 778.92 and 211.42

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Solution

The fourth proportional to 519.61, 778.92 and 211.42 is: 316.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.61 : 778.92 = 211.42 : x
  2. Step 2: Convert to fraction form
    519.61/778.92 = 211.42/x
  3. Step 3: Cross multiply
    519.61x = 778.92 × 211.42
  4. Step 4: Simplify right side
    519.61x = 164,679.27
  5. Step 5: Solve for x
    x = 164,679.27/519.61
  6. Step 6: Final answer
    x = 316.93

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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.