Home / 1,086.13-1,629.30-306.13

Finding the Fourth Proportional to 1,086.13, 1,629.30 and 306.13

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Solution

The fourth proportional to 1,086.13, 1,629.30 and 306.13 is: 459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.13 : 1,629.30 = 306.13 : x
  2. Step 2: Convert to fraction form
    1,086.13/1,629.30 = 306.13/x
  3. Step 3: Cross multiply
    1,086.13x = 1,629.30 × 306.13
  4. Step 4: Simplify right side
    1,086.13x = 498,777.61
  5. Step 5: Solve for x
    x = 498,777.61/1,086.13
  6. Step 6: Final answer
    x = 459.22

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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.