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Finding the Fourth Proportional to 516.94, 770.43 and 516.14

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Solution

The fourth proportional to 516.94, 770.43 and 516.14 is: 769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.94 : 770.43 = 516.14 : x
  2. Step 2: Convert to fraction form
    516.94/770.43 = 516.14/x
  3. Step 3: Cross multiply
    516.94x = 770.43 × 516.14
  4. Step 4: Simplify right side
    516.94x = 397,649.74
  5. Step 5: Solve for x
    x = 397,649.74/516.94
  6. Step 6: Final answer
    x = 769.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.