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Finding the Fourth Proportional to 1,679.82, 2,519.92 and 813.50

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Solution

The fourth proportional to 1,679.82, 2,519.92 and 813.50 is: 1,220.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.82 : 2,519.92 = 813.50 : x
  2. Step 2: Convert to fraction form
    1,679.82/2,519.92 = 813.50/x
  3. Step 3: Cross multiply
    1,679.82x = 2,519.92 × 813.50
  4. Step 4: Simplify right side
    1,679.82x = 2,049,954.92
  5. Step 5: Solve for x
    x = 2,049,954.92/1,679.82
  6. Step 6: Final answer
    x = 1,220.34

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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.