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Finding the Fourth Proportional to 1,675.85, 2,512.85 and 896.76

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Solution

The fourth proportional to 1,675.85, 2,512.85 and 896.76 is: 1,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.85 : 2,512.85 = 896.76 : x
  2. Step 2: Convert to fraction form
    1,675.85/2,512.85 = 896.76/x
  3. Step 3: Cross multiply
    1,675.85x = 2,512.85 × 896.76
  4. Step 4: Simplify right side
    1,675.85x = 2,253,418.88
  5. Step 5: Solve for x
    x = 2,253,418.88/1,675.85
  6. Step 6: Final answer
    x = 1,344.65

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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.