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Finding the Fourth Proportional to 1,397.97, 1,929.11 and 800.33

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Solution

The fourth proportional to 1,397.97, 1,929.11 and 800.33 is: 1,104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.97 : 1,929.11 = 800.33 : x
  2. Step 2: Convert to fraction form
    1,397.97/1,929.11 = 800.33/x
  3. Step 3: Cross multiply
    1,397.97x = 1,929.11 × 800.33
  4. Step 4: Simplify right side
    1,397.97x = 1,543,910.96
  5. Step 5: Solve for x
    x = 1,543,910.96/1,397.97
  6. Step 6: Final answer
    x = 1,104.39

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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.