Home / 1,033.26-1,427.67-836.43

Finding the Fourth Proportional to 1,033.26, 1,427.67 and 836.43

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Solution

The fourth proportional to 1,033.26, 1,427.67 and 836.43 is: 1,155.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.26 : 1,427.67 = 836.43 : x
  2. Step 2: Convert to fraction form
    1,033.26/1,427.67 = 836.43/x
  3. Step 3: Cross multiply
    1,033.26x = 1,427.67 × 836.43
  4. Step 4: Simplify right side
    1,033.26x = 1,194,146.02
  5. Step 5: Solve for x
    x = 1,194,146.02/1,033.26
  6. Step 6: Final answer
    x = 1,155.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.