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Finding the Fourth Proportional to 2,464.29, 3,696.84 and 820.80

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Solution

The fourth proportional to 2,464.29, 3,696.84 and 820.80 is: 1,231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.29 : 3,696.84 = 820.80 : x
  2. Step 2: Convert to fraction form
    2,464.29/3,696.84 = 820.80/x
  3. Step 3: Cross multiply
    2,464.29x = 3,696.84 × 820.80
  4. Step 4: Simplify right side
    2,464.29x = 3,034,366.27
  5. Step 5: Solve for x
    x = 3,034,366.27/2,464.29
  6. Step 6: Final answer
    x = 1,231.33

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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.