Home / 1,116.52-1,540.26-867.40

Finding the Fourth Proportional to 1,116.52, 1,540.26 and 867.40

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Solution

The fourth proportional to 1,116.52, 1,540.26 and 867.40 is: 1,196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.52 : 1,540.26 = 867.40 : x
  2. Step 2: Convert to fraction form
    1,116.52/1,540.26 = 867.40/x
  3. Step 3: Cross multiply
    1,116.52x = 1,540.26 × 867.40
  4. Step 4: Simplify right side
    1,116.52x = 1,336,021.52
  5. Step 5: Solve for x
    x = 1,336,021.52/1,116.52
  6. Step 6: Final answer
    x = 1,196.59

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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.