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Finding the Fourth Proportional to 519.63, 779.37 and 211.49

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Solution

The fourth proportional to 519.63, 779.37 and 211.49 is: 317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.63 : 779.37 = 211.49 : x
  2. Step 2: Convert to fraction form
    519.63/779.37 = 211.49/x
  3. Step 3: Cross multiply
    519.63x = 779.37 × 211.49
  4. Step 4: Simplify right side
    519.63x = 164,826.40
  5. Step 5: Solve for x
    x = 164,826.40/519.63
  6. Step 6: Final answer
    x = 317.20

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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.