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Finding the Fourth Proportional to 516.57, 774.61 and 151.28

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Solution

The fourth proportional to 516.57, 774.61 and 151.28 is: 226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.57 : 774.61 = 151.28 : x
  2. Step 2: Convert to fraction form
    516.57/774.61 = 151.28/x
  3. Step 3: Cross multiply
    516.57x = 774.61 × 151.28
  4. Step 4: Simplify right side
    516.57x = 117,184.56
  5. Step 5: Solve for x
    x = 117,184.56/516.57
  6. Step 6: Final answer
    x = 226.85

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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.