Home / 1,357.22-2,032.98-867.78

Finding the Fourth Proportional to 1,357.22, 2,032.98 and 867.78

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Solution

The fourth proportional to 1,357.22, 2,032.98 and 867.78 is: 1,299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.22 : 2,032.98 = 867.78 : x
  2. Step 2: Convert to fraction form
    1,357.22/2,032.98 = 867.78/x
  3. Step 3: Cross multiply
    1,357.22x = 2,032.98 × 867.78
  4. Step 4: Simplify right side
    1,357.22x = 1,764,179.38
  5. Step 5: Solve for x
    x = 1,764,179.38/1,357.22
  6. Step 6: Final answer
    x = 1,299.85

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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.