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Finding the Fourth Proportional to 518.91, 778.20 and 189.81

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Solution

The fourth proportional to 518.91, 778.20 and 189.81 is: 284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.91 : 778.20 = 189.81 : x
  2. Step 2: Convert to fraction form
    518.91/778.20 = 189.81/x
  3. Step 3: Cross multiply
    518.91x = 778.20 × 189.81
  4. Step 4: Simplify right side
    518.91x = 147,710.14
  5. Step 5: Solve for x
    x = 147,710.14/518.91
  6. Step 6: Final answer
    x = 284.65

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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.