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Finding the Fourth Proportional to 1,698.26, 2,546.78 and 820.76

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Solution

The fourth proportional to 1,698.26, 2,546.78 and 820.76 is: 1,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.26 : 2,546.78 = 820.76 : x
  2. Step 2: Convert to fraction form
    1,698.26/2,546.78 = 820.76/x
  3. Step 3: Cross multiply
    1,698.26x = 2,546.78 × 820.76
  4. Step 4: Simplify right side
    1,698.26x = 2,090,295.15
  5. Step 5: Solve for x
    x = 2,090,295.15/1,698.26
  6. Step 6: Final answer
    x = 1,230.85

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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.