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Finding the Fourth Proportional to 2,604.34, 3,906.65 and 656.56

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Solution

The fourth proportional to 2,604.34, 3,906.65 and 656.56 is: 984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.34 : 3,906.65 = 656.56 : x
  2. Step 2: Convert to fraction form
    2,604.34/3,906.65 = 656.56/x
  3. Step 3: Cross multiply
    2,604.34x = 3,906.65 × 656.56
  4. Step 4: Simplify right side
    2,604.34x = 2,564,950.12
  5. Step 5: Solve for x
    x = 2,564,950.12/2,604.34
  6. Step 6: Final answer
    x = 984.88

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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.