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Finding the Fourth Proportional to 519.22, 778.80 and 313.84

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Solution

The fourth proportional to 519.22, 778.80 and 313.84 is: 470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.22 : 778.80 = 313.84 : x
  2. Step 2: Convert to fraction form
    519.22/778.80 = 313.84/x
  3. Step 3: Cross multiply
    519.22x = 778.80 × 313.84
  4. Step 4: Simplify right side
    519.22x = 244,418.59
  5. Step 5: Solve for x
    x = 244,418.59/519.22
  6. Step 6: Final answer
    x = 470.74

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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.