Home / 1,086.20-1,628.97-306.14

Finding the Fourth Proportional to 1,086.20, 1,628.97 and 306.14

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Solution

The fourth proportional to 1,086.20, 1,628.97 and 306.14 is: 459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.20 : 1,628.97 = 306.14 : x
  2. Step 2: Convert to fraction form
    1,086.20/1,628.97 = 306.14/x
  3. Step 3: Cross multiply
    1,086.20x = 1,628.97 × 306.14
  4. Step 4: Simplify right side
    1,086.20x = 498,692.88
  5. Step 5: Solve for x
    x = 498,692.88/1,086.20
  6. Step 6: Final answer
    x = 459.12

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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.