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Finding the Fourth Proportional to 884.21, 1,331.46 and 654.73

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Solution

The fourth proportional to 884.21, 1,331.46 and 654.73 is: 985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.21 : 1,331.46 = 654.73 : x
  2. Step 2: Convert to fraction form
    884.21/1,331.46 = 654.73/x
  3. Step 3: Cross multiply
    884.21x = 1,331.46 × 654.73
  4. Step 4: Simplify right side
    884.21x = 871,741.02
  5. Step 5: Solve for x
    x = 871,741.02/884.21
  6. Step 6: Final answer
    x = 985.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.