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Finding the Fourth Proportional to 2,046.31, 3,069.54 and 659.62

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Solution

The fourth proportional to 2,046.31, 3,069.54 and 659.62 is: 989.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.31 : 3,069.54 = 659.62 : x
  2. Step 2: Convert to fraction form
    2,046.31/3,069.54 = 659.62/x
  3. Step 3: Cross multiply
    2,046.31x = 3,069.54 × 659.62
  4. Step 4: Simplify right side
    2,046.31x = 2,024,729.97
  5. Step 5: Solve for x
    x = 2,024,729.97/2,046.31
  6. Step 6: Final answer
    x = 989.45

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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.