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Finding the Fourth Proportional to 2,208.37, 3,313.02 and 648.43

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Solution

The fourth proportional to 2,208.37, 3,313.02 and 648.43 is: 972.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.37 : 3,313.02 = 648.43 : x
  2. Step 2: Convert to fraction form
    2,208.37/3,313.02 = 648.43/x
  3. Step 3: Cross multiply
    2,208.37x = 3,313.02 × 648.43
  4. Step 4: Simplify right side
    2,208.37x = 2,148,261.56
  5. Step 5: Solve for x
    x = 2,148,261.56/2,208.37
  6. Step 6: Final answer
    x = 972.78

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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.