Home / 1,286.73-1,928.79-506.22

Finding the Fourth Proportional to 1,286.73, 1,928.79 and 506.22

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Solution

The fourth proportional to 1,286.73, 1,928.79 and 506.22 is: 758.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.73 : 1,928.79 = 506.22 : x
  2. Step 2: Convert to fraction form
    1,286.73/1,928.79 = 506.22/x
  3. Step 3: Cross multiply
    1,286.73x = 1,928.79 × 506.22
  4. Step 4: Simplify right side
    1,286.73x = 976,392.07
  5. Step 5: Solve for x
    x = 976,392.07/1,286.73
  6. Step 6: Final answer
    x = 758.82

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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.