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Finding the Fourth Proportional to 519.91, 780.12 and 211.98

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Solution

The fourth proportional to 519.91, 780.12 and 211.98 is: 318.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.91 : 780.12 = 211.98 : x
  2. Step 2: Convert to fraction form
    519.91/780.12 = 211.98/x
  3. Step 3: Cross multiply
    519.91x = 780.12 × 211.98
  4. Step 4: Simplify right side
    519.91x = 165,369.84
  5. Step 5: Solve for x
    x = 165,369.84/519.91
  6. Step 6: Final answer
    x = 318.07

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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.