Home / 1,286.31-1,929.74-516.81

Finding the Fourth Proportional to 1,286.31, 1,929.74 and 516.81

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Solution

The fourth proportional to 1,286.31, 1,929.74 and 516.81 is: 775.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.31 : 1,929.74 = 516.81 : x
  2. Step 2: Convert to fraction form
    1,286.31/1,929.74 = 516.81/x
  3. Step 3: Cross multiply
    1,286.31x = 1,929.74 × 516.81
  4. Step 4: Simplify right side
    1,286.31x = 997,308.93
  5. Step 5: Solve for x
    x = 997,308.93/1,286.31
  6. Step 6: Final answer
    x = 775.33

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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.