Home / 1,286.12-1,928.66-463.94

Finding the Fourth Proportional to 1,286.12, 1,928.66 and 463.94

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Solution

The fourth proportional to 1,286.12, 1,928.66 and 463.94 is: 695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.12 : 1,928.66 = 463.94 : x
  2. Step 2: Convert to fraction form
    1,286.12/1,928.66 = 463.94/x
  3. Step 3: Cross multiply
    1,286.12x = 1,928.66 × 463.94
  4. Step 4: Simplify right side
    1,286.12x = 894,783.11
  5. Step 5: Solve for x
    x = 894,783.11/1,286.12
  6. Step 6: Final answer
    x = 695.73

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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.