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Finding the Fourth Proportional to 2,711.64, 4,067.43 and 659.64

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Solution

The fourth proportional to 2,711.64, 4,067.43 and 659.64 is: 989.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.64 : 4,067.43 = 659.64 : x
  2. Step 2: Convert to fraction form
    2,711.64/4,067.43 = 659.64/x
  3. Step 3: Cross multiply
    2,711.64x = 4,067.43 × 659.64
  4. Step 4: Simplify right side
    2,711.64x = 2,683,039.53
  5. Step 5: Solve for x
    x = 2,683,039.53/2,711.64
  6. Step 6: Final answer
    x = 989.45

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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.