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Finding the Fourth Proportional to 519.70, 779.81 and 211.77

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Solution

The fourth proportional to 519.70, 779.81 and 211.77 is: 317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.70 : 779.81 = 211.77 : x
  2. Step 2: Convert to fraction form
    519.70/779.81 = 211.77/x
  3. Step 3: Cross multiply
    519.70x = 779.81 × 211.77
  4. Step 4: Simplify right side
    519.70x = 165,137.36
  5. Step 5: Solve for x
    x = 165,137.36/519.70
  6. Step 6: Final answer
    x = 317.75

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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.