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Finding the Fourth Proportional to 1,161.44, 1,740.39 and 698.69

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Solution

The fourth proportional to 1,161.44, 1,740.39 and 698.69 is: 1,046.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.44 : 1,740.39 = 698.69 : x
  2. Step 2: Convert to fraction form
    1,161.44/1,740.39 = 698.69/x
  3. Step 3: Cross multiply
    1,161.44x = 1,740.39 × 698.69
  4. Step 4: Simplify right side
    1,161.44x = 1,215,994.82
  5. Step 5: Solve for x
    x = 1,215,994.82/1,161.44
  6. Step 6: Final answer
    x = 1,046.97

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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.