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Finding the Fourth Proportional to 516.97, 770.79 and 511.57

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Solution

The fourth proportional to 516.97, 770.79 and 511.57 is: 762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.97 : 770.79 = 511.57 : x
  2. Step 2: Convert to fraction form
    516.97/770.79 = 511.57/x
  3. Step 3: Cross multiply
    516.97x = 770.79 × 511.57
  4. Step 4: Simplify right side
    516.97x = 394,313.04
  5. Step 5: Solve for x
    x = 394,313.04/516.97
  6. Step 6: Final answer
    x = 762.74

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1.5x scale

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.