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Finding the Fourth Proportional to 519.21, 775.37 and 426.80

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Solution

The fourth proportional to 519.21, 775.37 and 426.80 is: 637.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.21 : 775.37 = 426.80 : x
  2. Step 2: Convert to fraction form
    519.21/775.37 = 426.80/x
  3. Step 3: Cross multiply
    519.21x = 775.37 × 426.80
  4. Step 4: Simplify right side
    519.21x = 330,930.92
  5. Step 5: Solve for x
    x = 330,930.92/519.21
  6. Step 6: Final answer
    x = 637.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.