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Finding the Fourth Proportional to 519.20, 779.03 and 287.81

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Solution

The fourth proportional to 519.20, 779.03 and 287.81 is: 431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.20 : 779.03 = 287.81 : x
  2. Step 2: Convert to fraction form
    519.20/779.03 = 287.81/x
  3. Step 3: Cross multiply
    519.20x = 779.03 × 287.81
  4. Step 4: Simplify right side
    519.20x = 224,211.19
  5. Step 5: Solve for x
    x = 224,211.19/519.20
  6. Step 6: Final answer
    x = 431.84

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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.