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Finding the Fourth Proportional to 1,102.97, 1,633.81 and 1,090.68

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Solution

The fourth proportional to 1,102.97, 1,633.81 and 1,090.68 is: 1,615.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.97 : 1,633.81 = 1,090.68 : x
  2. Step 2: Convert to fraction form
    1,102.97/1,633.81 = 1,090.68/x
  3. Step 3: Cross multiply
    1,102.97x = 1,633.81 × 1,090.68
  4. Step 4: Simplify right side
    1,102.97x = 1,781,963.89
  5. Step 5: Solve for x
    x = 1,781,963.89/1,102.97
  6. Step 6: Final answer
    x = 1,615.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.