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Finding the Fourth Proportional to 2,608.66, 3,913.22 and 660.87

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Solution

The fourth proportional to 2,608.66, 3,913.22 and 660.87 is: 991.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.66 : 3,913.22 = 660.87 : x
  2. Step 2: Convert to fraction form
    2,608.66/3,913.22 = 660.87/x
  3. Step 3: Cross multiply
    2,608.66x = 3,913.22 × 660.87
  4. Step 4: Simplify right side
    2,608.66x = 2,586,121.28
  5. Step 5: Solve for x
    x = 2,586,121.28/2,608.66
  6. Step 6: Final answer
    x = 991.36

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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.