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Finding the Fourth Proportional to 519.09, 779.09 and 313.61

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Solution

The fourth proportional to 519.09, 779.09 and 313.61 is: 470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.09 : 779.09 = 313.61 : x
  2. Step 2: Convert to fraction form
    519.09/779.09 = 313.61/x
  3. Step 3: Cross multiply
    519.09x = 779.09 × 313.61
  4. Step 4: Simplify right side
    519.09x = 244,324.95
  5. Step 5: Solve for x
    x = 244,324.95/519.09
  6. Step 6: Final answer
    x = 470.68

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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.