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Finding the Fourth Proportional to 516.53, 771.95 and 486.56

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Solution

The fourth proportional to 516.53, 771.95 and 486.56 is: 727.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.53 : 771.95 = 486.56 : x
  2. Step 2: Convert to fraction form
    516.53/771.95 = 486.56/x
  3. Step 3: Cross multiply
    516.53x = 771.95 × 486.56
  4. Step 4: Simplify right side
    516.53x = 375,593.70
  5. Step 5: Solve for x
    x = 375,593.70/516.53
  6. Step 6: Final answer
    x = 727.15

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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.