Home / 1,601.25-2,402.82-676.75

Finding the Fourth Proportional to 1,601.25, 2,402.82 and 676.75

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Solution

The fourth proportional to 1,601.25, 2,402.82 and 676.75 is: 1,015.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.25 : 2,402.82 = 676.75 : x
  2. Step 2: Convert to fraction form
    1,601.25/2,402.82 = 676.75/x
  3. Step 3: Cross multiply
    1,601.25x = 2,402.82 × 676.75
  4. Step 4: Simplify right side
    1,601.25x = 1,626,108.44
  5. Step 5: Solve for x
    x = 1,626,108.44/1,601.25
  6. Step 6: Final answer
    x = 1,015.52

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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.