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Finding the Fourth Proportional to 519.33, 779.68 and 365.33

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Solution

The fourth proportional to 519.33, 779.68 and 365.33 is: 548.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.33 : 779.68 = 365.33 : x
  2. Step 2: Convert to fraction form
    519.33/779.68 = 365.33/x
  3. Step 3: Cross multiply
    519.33x = 779.68 × 365.33
  4. Step 4: Simplify right side
    519.33x = 284,842.90
  5. Step 5: Solve for x
    x = 284,842.90/519.33
  6. Step 6: Final answer
    x = 548.48

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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.