Home / 2,228.64-3,343.31-767.46

Finding the Fourth Proportional to 2,228.64, 3,343.31 and 767.46

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Solution

The fourth proportional to 2,228.64, 3,343.31 and 767.46 is: 1,151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.64 : 3,343.31 = 767.46 : x
  2. Step 2: Convert to fraction form
    2,228.64/3,343.31 = 767.46/x
  3. Step 3: Cross multiply
    2,228.64x = 3,343.31 × 767.46
  4. Step 4: Simplify right side
    2,228.64x = 2,565,856.69
  5. Step 5: Solve for x
    x = 2,565,856.69/2,228.64
  6. Step 6: Final answer
    x = 1,151.31

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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.