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Finding the Fourth Proportional to 518.68, 778.17 and 275.17

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Solution

The fourth proportional to 518.68, 778.17 and 275.17 is: 412.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.68 : 778.17 = 275.17 : x
  2. Step 2: Convert to fraction form
    518.68/778.17 = 275.17/x
  3. Step 3: Cross multiply
    518.68x = 778.17 × 275.17
  4. Step 4: Simplify right side
    518.68x = 214,129.04
  5. Step 5: Solve for x
    x = 214,129.04/518.68
  6. Step 6: Final answer
    x = 412.83

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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.