Home / 1,086.40-1,629.43-306.46

Finding the Fourth Proportional to 1,086.40, 1,629.43 and 306.46

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Solution

The fourth proportional to 1,086.40, 1,629.43 and 306.46 is: 459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.40 : 1,629.43 = 306.46 : x
  2. Step 2: Convert to fraction form
    1,086.40/1,629.43 = 306.46/x
  3. Step 3: Cross multiply
    1,086.40x = 1,629.43 × 306.46
  4. Step 4: Simplify right side
    1,086.40x = 499,355.12
  5. Step 5: Solve for x
    x = 499,355.12/1,086.40
  6. Step 6: Final answer
    x = 459.64

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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.