Home / 1,286.28-1,929.74-361.84

Finding the Fourth Proportional to 1,286.28, 1,929.74 and 361.84

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Solution

The fourth proportional to 1,286.28, 1,929.74 and 361.84 is: 542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.28 : 1,929.74 = 361.84 : x
  2. Step 2: Convert to fraction form
    1,286.28/1,929.74 = 361.84/x
  3. Step 3: Cross multiply
    1,286.28x = 1,929.74 × 361.84
  4. Step 4: Simplify right side
    1,286.28x = 698,257.12
  5. Step 5: Solve for x
    x = 698,257.12/1,286.28
  6. Step 6: Final answer
    x = 542.85

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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.