Home / 1,597.45-2,396.18-819.85

Finding the Fourth Proportional to 1,597.45, 2,396.18 and 819.85

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Solution

The fourth proportional to 1,597.45, 2,396.18 and 819.85 is: 1,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.45 : 2,396.18 = 819.85 : x
  2. Step 2: Convert to fraction form
    1,597.45/2,396.18 = 819.85/x
  3. Step 3: Cross multiply
    1,597.45x = 2,396.18 × 819.85
  4. Step 4: Simplify right side
    1,597.45x = 1,964,504.07
  5. Step 5: Solve for x
    x = 1,964,504.07/1,597.45
  6. Step 6: Final answer
    x = 1,229.78

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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.