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Finding the Fourth Proportional to 519.21, 779.63 and 411.89

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Solution

The fourth proportional to 519.21, 779.63 and 411.89 is: 618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.21 : 779.63 = 411.89 : x
  2. Step 2: Convert to fraction form
    519.21/779.63 = 411.89/x
  3. Step 3: Cross multiply
    519.21x = 779.63 × 411.89
  4. Step 4: Simplify right side
    519.21x = 321,115.84
  5. Step 5: Solve for x
    x = 321,115.84/519.21
  6. Step 6: Final answer
    x = 618.47

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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.