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Finding the Fourth Proportional to 519.44, 778.95 and 357.17

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Solution

The fourth proportional to 519.44, 778.95 and 357.17 is: 535.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.44 : 778.95 = 357.17 : x
  2. Step 2: Convert to fraction form
    519.44/778.95 = 357.17/x
  3. Step 3: Cross multiply
    519.44x = 778.95 × 357.17
  4. Step 4: Simplify right side
    519.44x = 278,213.68
  5. Step 5: Solve for x
    x = 278,213.68/519.44
  6. Step 6: Final answer
    x = 535.61

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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.