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Finding the Fourth Proportional to 2,607.38, 3,911.08 and 659.59

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Solution

The fourth proportional to 2,607.38, 3,911.08 and 659.59 is: 989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.38 : 3,911.08 = 659.59 : x
  2. Step 2: Convert to fraction form
    2,607.38/3,911.08 = 659.59/x
  3. Step 3: Cross multiply
    2,607.38x = 3,911.08 × 659.59
  4. Step 4: Simplify right side
    2,607.38x = 2,579,709.26
  5. Step 5: Solve for x
    x = 2,579,709.26/2,607.38
  6. Step 6: Final answer
    x = 989.39

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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.