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Finding the Fourth Proportional to 2,312.46, 3,468.58 and 668.97

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Solution

The fourth proportional to 2,312.46, 3,468.58 and 668.97 is: 1,003.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.46 : 3,468.58 = 668.97 : x
  2. Step 2: Convert to fraction form
    2,312.46/3,468.58 = 668.97/x
  3. Step 3: Cross multiply
    2,312.46x = 3,468.58 × 668.97
  4. Step 4: Simplify right side
    2,312.46x = 2,320,375.96
  5. Step 5: Solve for x
    x = 2,320,375.96/2,312.46
  6. Step 6: Final answer
    x = 1,003.42

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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.