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Finding the Fourth Proportional to 1,085.72, 1,498.86 and 836.46

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Solution

The fourth proportional to 1,085.72, 1,498.86 and 836.46 is: 1,154.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.72 : 1,498.86 = 836.46 : x
  2. Step 2: Convert to fraction form
    1,085.72/1,498.86 = 836.46/x
  3. Step 3: Cross multiply
    1,085.72x = 1,498.86 × 836.46
  4. Step 4: Simplify right side
    1,085.72x = 1,253,736.44
  5. Step 5: Solve for x
    x = 1,253,736.44/1,085.72
  6. Step 6: Final answer
    x = 1,154.76

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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.