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Finding the Fourth Proportional to 1,194.69, 1,647.10 and 820.97

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Solution

The fourth proportional to 1,194.69, 1,647.10 and 820.97 is: 1,131.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.69 : 1,647.10 = 820.97 : x
  2. Step 2: Convert to fraction form
    1,194.69/1,647.10 = 820.97/x
  3. Step 3: Cross multiply
    1,194.69x = 1,647.10 × 820.97
  4. Step 4: Simplify right side
    1,194.69x = 1,352,219.69
  5. Step 5: Solve for x
    x = 1,352,219.69/1,194.69
  6. Step 6: Final answer
    x = 1,131.86

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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.