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Finding the Fourth Proportional to 986.27, 1,361.74 and 633.09

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Solution

The fourth proportional to 986.27, 1,361.74 and 633.09 is: 874.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.27 : 1,361.74 = 633.09 : x
  2. Step 2: Convert to fraction form
    986.27/1,361.74 = 633.09/x
  3. Step 3: Cross multiply
    986.27x = 1,361.74 × 633.09
  4. Step 4: Simplify right side
    986.27x = 862,108.69
  5. Step 5: Solve for x
    x = 862,108.69/986.27
  6. Step 6: Final answer
    x = 874.11

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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.