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Finding the Fourth Proportional to 516.94, 774.40 and 343.09

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Solution

The fourth proportional to 516.94, 774.40 and 343.09 is: 513.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.94 : 774.40 = 343.09 : x
  2. Step 2: Convert to fraction form
    516.94/774.40 = 343.09/x
  3. Step 3: Cross multiply
    516.94x = 774.40 × 343.09
  4. Step 4: Simplify right side
    516.94x = 265,688.90
  5. Step 5: Solve for x
    x = 265,688.90/516.94
  6. Step 6: Final answer
    x = 513.96

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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.