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Finding the Fourth Proportional to 2,604.33, 3,906.52 and 656.53

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Solution

The fourth proportional to 2,604.33, 3,906.52 and 656.53 is: 984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.33 : 3,906.52 = 656.53 : x
  2. Step 2: Convert to fraction form
    2,604.33/3,906.52 = 656.53/x
  3. Step 3: Cross multiply
    2,604.33x = 3,906.52 × 656.53
  4. Step 4: Simplify right side
    2,604.33x = 2,564,760.60
  5. Step 5: Solve for x
    x = 2,564,760.60/2,604.33
  6. Step 6: Final answer
    x = 984.81

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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.