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Finding the Fourth Proportional to 1,676.37, 2,512.92 and 855.03

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Solution

The fourth proportional to 1,676.37, 2,512.92 and 855.03 is: 1,281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.37 : 2,512.92 = 855.03 : x
  2. Step 2: Convert to fraction form
    1,676.37/2,512.92 = 855.03/x
  3. Step 3: Cross multiply
    1,676.37x = 2,512.92 × 855.03
  4. Step 4: Simplify right side
    1,676.37x = 2,148,621.99
  5. Step 5: Solve for x
    x = 2,148,621.99/1,676.37
  6. Step 6: Final answer
    x = 1,281.71

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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.