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Finding the Fourth Proportional to 1,642.80, 2,464.12 and 668.64

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Solution

The fourth proportional to 1,642.80, 2,464.12 and 668.64 is: 1,002.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.80 : 2,464.12 = 668.64 : x
  2. Step 2: Convert to fraction form
    1,642.80/2,464.12 = 668.64/x
  3. Step 3: Cross multiply
    1,642.80x = 2,464.12 × 668.64
  4. Step 4: Simplify right side
    1,642.80x = 1,647,609.20
  5. Step 5: Solve for x
    x = 1,647,609.20/1,642.80
  6. Step 6: Final answer
    x = 1,002.93

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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.