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Finding the Fourth Proportional to 2,464.30, 3,696.48 and 820.85

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Solution

The fourth proportional to 2,464.30, 3,696.48 and 820.85 is: 1,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.30 : 3,696.48 = 820.85 : x
  2. Step 2: Convert to fraction form
    2,464.30/3,696.48 = 820.85/x
  3. Step 3: Cross multiply
    2,464.30x = 3,696.48 × 820.85
  4. Step 4: Simplify right side
    2,464.30x = 3,034,233.02
  5. Step 5: Solve for x
    x = 3,034,233.02/2,464.30
  6. Step 6: Final answer
    x = 1,231.28

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1.5x scale

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.