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Finding the Fourth Proportional to 2,508.28, 3,762.12 and 659.54

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Solution

The fourth proportional to 2,508.28, 3,762.12 and 659.54 is: 989.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.28 : 3,762.12 = 659.54 : x
  2. Step 2: Convert to fraction form
    2,508.28/3,762.12 = 659.54/x
  3. Step 3: Cross multiply
    2,508.28x = 3,762.12 × 659.54
  4. Step 4: Simplify right side
    2,508.28x = 2,481,261.50
  5. Step 5: Solve for x
    x = 2,481,261.50/2,508.28
  6. Step 6: Final answer
    x = 989.23

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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.