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Finding the Fourth Proportional to 2,464.66, 3,695.60 and 820.32

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Solution

The fourth proportional to 2,464.66, 3,695.60 and 820.32 is: 1,230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.66 : 3,695.60 = 820.32 : x
  2. Step 2: Convert to fraction form
    2,464.66/3,695.60 = 820.32/x
  3. Step 3: Cross multiply
    2,464.66x = 3,695.60 × 820.32
  4. Step 4: Simplify right side
    2,464.66x = 3,031,574.59
  5. Step 5: Solve for x
    x = 3,031,574.59/2,464.66
  6. Step 6: Final answer
    x = 1,230.02

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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.