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Finding the Fourth Proportional to 2,604.45, 3,906.66 and 656.66

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Solution

The fourth proportional to 2,604.45, 3,906.66 and 656.66 is: 984.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.45 : 3,906.66 = 656.66 : x
  2. Step 2: Convert to fraction form
    2,604.45/3,906.66 = 656.66/x
  3. Step 3: Cross multiply
    2,604.45x = 3,906.66 × 656.66
  4. Step 4: Simplify right side
    2,604.45x = 2,565,337.61
  5. Step 5: Solve for x
    x = 2,565,337.61/2,604.45
  6. Step 6: Final answer
    x = 984.98

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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.