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Finding the Fourth Proportional to 517.94, 776.91 and 133.19

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Solution

The fourth proportional to 517.94, 776.91 and 133.19 is: 199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.94 : 776.91 = 133.19 : x
  2. Step 2: Convert to fraction form
    517.94/776.91 = 133.19/x
  3. Step 3: Cross multiply
    517.94x = 776.91 × 133.19
  4. Step 4: Simplify right side
    517.94x = 103,475.98
  5. Step 5: Solve for x
    x = 103,475.98/517.94
  6. Step 6: Final answer
    x = 199.78

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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.