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Finding the Fourth Proportional to 987.22, 1,361.67 and 633.25

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Solution

The fourth proportional to 987.22, 1,361.67 and 633.25 is: 873.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.22 : 1,361.67 = 633.25 : x
  2. Step 2: Convert to fraction form
    987.22/1,361.67 = 633.25/x
  3. Step 3: Cross multiply
    987.22x = 1,361.67 × 633.25
  4. Step 4: Simplify right side
    987.22x = 862,269.20
  5. Step 5: Solve for x
    x = 862,269.20/987.22
  6. Step 6: Final answer
    x = 873.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.