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Finding the Fourth Proportional to 519.78, 779.88 and 411.24

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Solution

The fourth proportional to 519.78, 779.88 and 411.24 is: 617.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.78 : 779.88 = 411.24 : x
  2. Step 2: Convert to fraction form
    519.78/779.88 = 411.24/x
  3. Step 3: Cross multiply
    519.78x = 779.88 × 411.24
  4. Step 4: Simplify right side
    519.78x = 320,717.85
  5. Step 5: Solve for x
    x = 320,717.85/519.78
  6. Step 6: Final answer
    x = 617.03

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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.