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Finding the Fourth Proportional to 518.99, 778.23 and 323.69

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Solution

The fourth proportional to 518.99, 778.23 and 323.69 is: 485.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.99 : 778.23 = 323.69 : x
  2. Step 2: Convert to fraction form
    518.99/778.23 = 323.69/x
  3. Step 3: Cross multiply
    518.99x = 778.23 × 323.69
  4. Step 4: Simplify right side
    518.99x = 251,901.38
  5. Step 5: Solve for x
    x = 251,901.38/518.99
  6. Step 6: Final answer
    x = 485.37

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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.