Home / 1,086.20-1,629.40-306.20

Finding the Fourth Proportional to 1,086.20, 1,629.40 and 306.20

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Solution

The fourth proportional to 1,086.20, 1,629.40 and 306.20 is: 459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.20 : 1,629.40 = 306.20 : x
  2. Step 2: Convert to fraction form
    1,086.20/1,629.40 = 306.20/x
  3. Step 3: Cross multiply
    1,086.20x = 1,629.40 × 306.20
  4. Step 4: Simplify right side
    1,086.20x = 498,914.13
  5. Step 5: Solve for x
    x = 498,914.13/1,086.20
  6. Step 6: Final answer
    x = 459.32

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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.