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Finding the Fourth Proportional to 2,302.56, 3,453.60 and 659

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Solution

The fourth proportional to 2,302.56, 3,453.60 and 659 is: 988.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.56 : 3,453.60 = 659 : x
  2. Step 2: Convert to fraction form
    2,302.56/3,453.60 = 659/x
  3. Step 3: Cross multiply
    2,302.56x = 3,453.60 × 659
  4. Step 4: Simplify right side
    2,302.56x = 2,275,922.40
  5. Step 5: Solve for x
    x = 2,275,922.40/2,302.56
  6. Step 6: Final answer
    x = 988.43

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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.