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Finding the Fourth Proportional to 516.57, 775.03 and 151.41

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Solution

The fourth proportional to 516.57, 775.03 and 151.41 is: 227.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.57 : 775.03 = 151.41 : x
  2. Step 2: Convert to fraction form
    516.57/775.03 = 151.41/x
  3. Step 3: Cross multiply
    516.57x = 775.03 × 151.41
  4. Step 4: Simplify right side
    516.57x = 117,347.29
  5. Step 5: Solve for x
    x = 117,347.29/516.57
  6. Step 6: Final answer
    x = 227.17

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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.