Home / 2,286.28-3,429.40-642.83

Finding the Fourth Proportional to 2,286.28, 3,429.40 and 642.83

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Solution

The fourth proportional to 2,286.28, 3,429.40 and 642.83 is: 964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.28 : 3,429.40 = 642.83 : x
  2. Step 2: Convert to fraction form
    2,286.28/3,429.40 = 642.83/x
  3. Step 3: Cross multiply
    2,286.28x = 3,429.40 × 642.83
  4. Step 4: Simplify right side
    2,286.28x = 2,204,521.20
  5. Step 5: Solve for x
    x = 2,204,521.20/2,286.28
  6. Step 6: Final answer
    x = 964.24

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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.