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Finding the Fourth Proportional to 519.71, 779.76 and 365.27

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Solution

The fourth proportional to 519.71, 779.76 and 365.27 is: 548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.71 : 779.76 = 365.27 : x
  2. Step 2: Convert to fraction form
    519.71/779.76 = 365.27/x
  3. Step 3: Cross multiply
    519.71x = 779.76 × 365.27
  4. Step 4: Simplify right side
    519.71x = 284,819.04
  5. Step 5: Solve for x
    x = 284,819.04/519.71
  6. Step 6: Final answer
    x = 548.04

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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.