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Finding the Fourth Proportional to 2,046.20, 3,068.78 and 659.61

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Solution

The fourth proportional to 2,046.20, 3,068.78 and 659.61 is: 989.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.20 : 3,068.78 = 659.61 : x
  2. Step 2: Convert to fraction form
    2,046.20/3,068.78 = 659.61/x
  3. Step 3: Cross multiply
    2,046.20x = 3,068.78 × 659.61
  4. Step 4: Simplify right side
    2,046.20x = 2,024,194.68
  5. Step 5: Solve for x
    x = 2,024,194.68/2,046.20
  6. Step 6: Final answer
    x = 989.25

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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.