Home / 1,428.39-2,142.23-687.27

Finding the Fourth Proportional to 1,428.39, 2,142.23 and 687.27

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Solution

The fourth proportional to 1,428.39, 2,142.23 and 687.27 is: 1,030.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.39 : 2,142.23 = 687.27 : x
  2. Step 2: Convert to fraction form
    1,428.39/2,142.23 = 687.27/x
  3. Step 3: Cross multiply
    1,428.39x = 2,142.23 × 687.27
  4. Step 4: Simplify right side
    1,428.39x = 1,472,286.98
  5. Step 5: Solve for x
    x = 1,472,286.98/1,428.39
  6. Step 6: Final answer
    x = 1,030.73

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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.