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Finding the Fourth Proportional to 1,129.82, 1,694.75 and 820.17

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Solution

The fourth proportional to 1,129.82, 1,694.75 and 820.17 is: 1,230.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.82 : 1,694.75 = 820.17 : x
  2. Step 2: Convert to fraction form
    1,129.82/1,694.75 = 820.17/x
  3. Step 3: Cross multiply
    1,129.82x = 1,694.75 × 820.17
  4. Step 4: Simplify right side
    1,129.82x = 1,389,979.01
  5. Step 5: Solve for x
    x = 1,389,979.01/1,129.82
  6. Step 6: Final answer
    x = 1,230.27

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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.