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Finding the Fourth Proportional to 518.86, 779.06 and 324.69

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Solution

The fourth proportional to 518.86, 779.06 and 324.69 is: 487.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.86 : 779.06 = 324.69 : x
  2. Step 2: Convert to fraction form
    518.86/779.06 = 324.69/x
  3. Step 3: Cross multiply
    518.86x = 779.06 × 324.69
  4. Step 4: Simplify right side
    518.86x = 252,952.99
  5. Step 5: Solve for x
    x = 252,952.99/518.86
  6. Step 6: Final answer
    x = 487.52

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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.