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Finding the Fourth Proportional to 1,101.97, 1,649.76 and 829.18

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Solution

The fourth proportional to 1,101.97, 1,649.76 and 829.18 is: 1,241.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.97 : 1,649.76 = 829.18 : x
  2. Step 2: Convert to fraction form
    1,101.97/1,649.76 = 829.18/x
  3. Step 3: Cross multiply
    1,101.97x = 1,649.76 × 829.18
  4. Step 4: Simplify right side
    1,101.97x = 1,367,948.00
  5. Step 5: Solve for x
    x = 1,367,948.00/1,101.97
  6. Step 6: Final answer
    x = 1,241.37

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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.