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Finding the Fourth Proportional to 2,464.46, 3,696.45 and 820.46

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Solution

The fourth proportional to 2,464.46, 3,696.45 and 820.46 is: 1,230.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.46 : 3,696.45 = 820.46 : x
  2. Step 2: Convert to fraction form
    2,464.46/3,696.45 = 820.46/x
  3. Step 3: Cross multiply
    2,464.46x = 3,696.45 × 820.46
  4. Step 4: Simplify right side
    2,464.46x = 3,032,789.37
  5. Step 5: Solve for x
    x = 3,032,789.37/2,464.46
  6. Step 6: Final answer
    x = 1,230.61

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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.