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Finding the Fourth Proportional to 887.27, 1,327.66 and 743.09

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Solution

The fourth proportional to 887.27, 1,327.66 and 743.09 is: 1,111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.27 : 1,327.66 = 743.09 : x
  2. Step 2: Convert to fraction form
    887.27/1,327.66 = 743.09/x
  3. Step 3: Cross multiply
    887.27x = 1,327.66 × 743.09
  4. Step 4: Simplify right side
    887.27x = 986,570.87
  5. Step 5: Solve for x
    x = 986,570.87/887.27
  6. Step 6: Final answer
    x = 1,111.92

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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.