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Finding the Fourth Proportional to 516.79, 775.22 and 151.57

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Solution

The fourth proportional to 516.79, 775.22 and 151.57 is: 227.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.79 : 775.22 = 151.57 : x
  2. Step 2: Convert to fraction form
    516.79/775.22 = 151.57/x
  3. Step 3: Cross multiply
    516.79x = 775.22 × 151.57
  4. Step 4: Simplify right side
    516.79x = 117,500.10
  5. Step 5: Solve for x
    x = 117,500.10/516.79
  6. Step 6: Final answer
    x = 227.37

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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.