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Finding the Fourth Proportional to 1,087.85, 1,629.19 and 676.27

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Solution

The fourth proportional to 1,087.85, 1,629.19 and 676.27 is: 1,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.85 : 1,629.19 = 676.27 : x
  2. Step 2: Convert to fraction form
    1,087.85/1,629.19 = 676.27/x
  3. Step 3: Cross multiply
    1,087.85x = 1,629.19 × 676.27
  4. Step 4: Simplify right side
    1,087.85x = 1,101,772.32
  5. Step 5: Solve for x
    x = 1,101,772.32/1,087.85
  6. Step 6: Final answer
    x = 1,012.80

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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.