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Finding the Fourth Proportional to 2,464.08, 3,695.72 and 820.64

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Solution

The fourth proportional to 2,464.08, 3,695.72 and 820.64 is: 1,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.08 : 3,695.72 = 820.64 : x
  2. Step 2: Convert to fraction form
    2,464.08/3,695.72 = 820.64/x
  3. Step 3: Cross multiply
    2,464.08x = 3,695.72 × 820.64
  4. Step 4: Simplify right side
    2,464.08x = 3,032,855.66
  5. Step 5: Solve for x
    x = 3,032,855.66/2,464.08
  6. Step 6: Final answer
    x = 1,230.83

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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.