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Finding the Fourth Proportional to 1,097.19, 1,638.45 and 863.46

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Solution

The fourth proportional to 1,097.19, 1,638.45 and 863.46 is: 1,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.19 : 1,638.45 = 863.46 : x
  2. Step 2: Convert to fraction form
    1,097.19/1,638.45 = 863.46/x
  3. Step 3: Cross multiply
    1,097.19x = 1,638.45 × 863.46
  4. Step 4: Simplify right side
    1,097.19x = 1,414,736.04
  5. Step 5: Solve for x
    x = 1,414,736.04/1,097.19
  6. Step 6: Final answer
    x = 1,289.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.