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Finding the Fourth Proportional to 519.38, 778.32 and 391.22

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Solution

The fourth proportional to 519.38, 778.32 and 391.22 is: 586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.38 : 778.32 = 391.22 : x
  2. Step 2: Convert to fraction form
    519.38/778.32 = 391.22/x
  3. Step 3: Cross multiply
    519.38x = 778.32 × 391.22
  4. Step 4: Simplify right side
    519.38x = 304,494.35
  5. Step 5: Solve for x
    x = 304,494.35/519.38
  6. Step 6: Final answer
    x = 586.27

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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.