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Finding the Fourth Proportional to 1,195.22, 1,649.39 and 729.47

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Solution

The fourth proportional to 1,195.22, 1,649.39 and 729.47 is: 1,006.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.22 : 1,649.39 = 729.47 : x
  2. Step 2: Convert to fraction form
    1,195.22/1,649.39 = 729.47/x
  3. Step 3: Cross multiply
    1,195.22x = 1,649.39 × 729.47
  4. Step 4: Simplify right side
    1,195.22x = 1,203,180.52
  5. Step 5: Solve for x
    x = 1,203,180.52/1,195.22
  6. Step 6: Final answer
    x = 1,006.66

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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.