Home / 1,228.21-1,694.17-786.41

Finding the Fourth Proportional to 1,228.21, 1,694.17 and 786.41

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Solution

The fourth proportional to 1,228.21, 1,694.17 and 786.41 is: 1,084.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.21 : 1,694.17 = 786.41 : x
  2. Step 2: Convert to fraction form
    1,228.21/1,694.17 = 786.41/x
  3. Step 3: Cross multiply
    1,228.21x = 1,694.17 × 786.41
  4. Step 4: Simplify right side
    1,228.21x = 1,332,306.67
  5. Step 5: Solve for x
    x = 1,332,306.67/1,228.21
  6. Step 6: Final answer
    x = 1,084.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.