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Finding the Fourth Proportional to 2,464.57, 3,696.04 and 820.68

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Solution

The fourth proportional to 2,464.57, 3,696.04 and 820.68 is: 1,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.57 : 3,696.04 = 820.68 : x
  2. Step 2: Convert to fraction form
    2,464.57/3,696.04 = 820.68/x
  3. Step 3: Cross multiply
    2,464.57x = 3,696.04 × 820.68
  4. Step 4: Simplify right side
    2,464.57x = 3,033,266.11
  5. Step 5: Solve for x
    x = 3,033,266.11/2,464.57
  6. Step 6: Final answer
    x = 1,230.75

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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.