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Finding the Fourth Proportional to 2,046.28, 3,069.60 and 659.74

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Solution

The fourth proportional to 2,046.28, 3,069.60 and 659.74 is: 989.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.28 : 3,069.60 = 659.74 : x
  2. Step 2: Convert to fraction form
    2,046.28/3,069.60 = 659.74/x
  3. Step 3: Cross multiply
    2,046.28x = 3,069.60 × 659.74
  4. Step 4: Simplify right side
    2,046.28x = 2,025,137.90
  5. Step 5: Solve for x
    x = 2,025,137.90/2,046.28
  6. Step 6: Final answer
    x = 989.67

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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.