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Finding the Fourth Proportional to 519.05, 778.47 and 194.45

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Solution

The fourth proportional to 519.05, 778.47 and 194.45 is: 291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.05 : 778.47 = 194.45 : x
  2. Step 2: Convert to fraction form
    519.05/778.47 = 194.45/x
  3. Step 3: Cross multiply
    519.05x = 778.47 × 194.45
  4. Step 4: Simplify right side
    519.05x = 151,369.60
  5. Step 5: Solve for x
    x = 151,369.60/519.05
  6. Step 6: Final answer
    x = 291.63

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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.