Home / 1,380.12-2,069.39-455.43

Finding the Fourth Proportional to 1,380.12, 2,069.39 and 455.43

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Solution

The fourth proportional to 1,380.12, 2,069.39 and 455.43 is: 682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.12 : 2,069.39 = 455.43 : x
  2. Step 2: Convert to fraction form
    1,380.12/2,069.39 = 455.43/x
  3. Step 3: Cross multiply
    1,380.12x = 2,069.39 × 455.43
  4. Step 4: Simplify right side
    1,380.12x = 942,462.29
  5. Step 5: Solve for x
    x = 942,462.29/1,380.12
  6. Step 6: Final answer
    x = 682.88

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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.