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Finding the Fourth Proportional to 517.92, 776.94 and 209.78

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Solution

The fourth proportional to 517.92, 776.94 and 209.78 is: 314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.92 : 776.94 = 209.78 : x
  2. Step 2: Convert to fraction form
    517.92/776.94 = 209.78/x
  3. Step 3: Cross multiply
    517.92x = 776.94 × 209.78
  4. Step 4: Simplify right side
    517.92x = 162,986.47
  5. Step 5: Solve for x
    x = 162,986.47/517.92
  6. Step 6: Final answer
    x = 314.69

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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.