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Finding the Fourth Proportional to 2,218.37, 3,327.57 and 658.41

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Solution

The fourth proportional to 2,218.37, 3,327.57 and 658.41 is: 987.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.37 : 3,327.57 = 658.41 : x
  2. Step 2: Convert to fraction form
    2,218.37/3,327.57 = 658.41/x
  3. Step 3: Cross multiply
    2,218.37x = 3,327.57 × 658.41
  4. Step 4: Simplify right side
    2,218.37x = 2,190,905.36
  5. Step 5: Solve for x
    x = 2,190,905.36/2,218.37
  6. Step 6: Final answer
    x = 987.62

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1.5x scale

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.