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Finding the Fourth Proportional to 516.86, 775.69 and 269.81

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Solution

The fourth proportional to 516.86, 775.69 and 269.81 is: 404.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.86 : 775.69 = 269.81 : x
  2. Step 2: Convert to fraction form
    516.86/775.69 = 269.81/x
  3. Step 3: Cross multiply
    516.86x = 775.69 × 269.81
  4. Step 4: Simplify right side
    516.86x = 209,284.37
  5. Step 5: Solve for x
    x = 209,284.37/516.86
  6. Step 6: Final answer
    x = 404.92

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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.