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Finding the Fourth Proportional to 1,104.55, 1,653.22 and 811.97

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Solution

The fourth proportional to 1,104.55, 1,653.22 and 811.97 is: 1,215.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.55 : 1,653.22 = 811.97 : x
  2. Step 2: Convert to fraction form
    1,104.55/1,653.22 = 811.97/x
  3. Step 3: Cross multiply
    1,104.55x = 1,653.22 × 811.97
  4. Step 4: Simplify right side
    1,104.55x = 1,342,360.98
  5. Step 5: Solve for x
    x = 1,342,360.98/1,104.55
  6. Step 6: Final answer
    x = 1,215.30

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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.