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Finding the Fourth Proportional to 1,120.14, 1,676.97 and 685.98

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Solution

The fourth proportional to 1,120.14, 1,676.97 and 685.98 is: 1,026.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.14 : 1,676.97 = 685.98 : x
  2. Step 2: Convert to fraction form
    1,120.14/1,676.97 = 685.98/x
  3. Step 3: Cross multiply
    1,120.14x = 1,676.97 × 685.98
  4. Step 4: Simplify right side
    1,120.14x = 1,150,367.88
  5. Step 5: Solve for x
    x = 1,150,367.88/1,120.14
  6. Step 6: Final answer
    x = 1,026.99

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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.