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Finding the Fourth Proportional to 1,162.34, 1,744.68 and 676.34

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Solution

The fourth proportional to 1,162.34, 1,744.68 and 676.34 is: 1,015.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.34 : 1,744.68 = 676.34 : x
  2. Step 2: Convert to fraction form
    1,162.34/1,744.68 = 676.34/x
  3. Step 3: Cross multiply
    1,162.34x = 1,744.68 × 676.34
  4. Step 4: Simplify right side
    1,162.34x = 1,179,996.87
  5. Step 5: Solve for x
    x = 1,179,996.87/1,162.34
  6. Step 6: Final answer
    x = 1,015.19

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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.