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Finding the Fourth Proportional to 519.85, 778.57 and 313.96

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Solution

The fourth proportional to 519.85, 778.57 and 313.96 is: 470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.85 : 778.57 = 313.96 : x
  2. Step 2: Convert to fraction form
    519.85/778.57 = 313.96/x
  3. Step 3: Cross multiply
    519.85x = 778.57 × 313.96
  4. Step 4: Simplify right side
    519.85x = 244,439.84
  5. Step 5: Solve for x
    x = 244,439.84/519.85
  6. Step 6: Final answer
    x = 470.21

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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.