Home / 1,086.42-1,629.54-306.39

Finding the Fourth Proportional to 1,086.42, 1,629.54 and 306.39

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Solution

The fourth proportional to 1,086.42, 1,629.54 and 306.39 is: 459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.42 : 1,629.54 = 306.39 : x
  2. Step 2: Convert to fraction form
    1,086.42/1,629.54 = 306.39/x
  3. Step 3: Cross multiply
    1,086.42x = 1,629.54 × 306.39
  4. Step 4: Simplify right side
    1,086.42x = 499,268.36
  5. Step 5: Solve for x
    x = 499,268.36/1,086.42
  6. Step 6: Final answer
    x = 459.56

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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.