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Finding the Fourth Proportional to 519.33, 778.71 and 345.39

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Solution

The fourth proportional to 519.33, 778.71 and 345.39 is: 517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.33 : 778.71 = 345.39 : x
  2. Step 2: Convert to fraction form
    519.33/778.71 = 345.39/x
  3. Step 3: Cross multiply
    519.33x = 778.71 × 345.39
  4. Step 4: Simplify right side
    519.33x = 268,958.65
  5. Step 5: Solve for x
    x = 268,958.65/519.33
  6. Step 6: Final answer
    x = 517.90

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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.