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Finding the Fourth Proportional to 2,708.41, 4,062.61 and 656.41

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Solution

The fourth proportional to 2,708.41, 4,062.61 and 656.41 is: 984.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.41 : 4,062.61 = 656.41 : x
  2. Step 2: Convert to fraction form
    2,708.41/4,062.61 = 656.41/x
  3. Step 3: Cross multiply
    2,708.41x = 4,062.61 × 656.41
  4. Step 4: Simplify right side
    2,708.41x = 2,666,722.19
  5. Step 5: Solve for x
    x = 2,666,722.19/2,708.41
  6. Step 6: Final answer
    x = 984.61

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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.