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Finding the Fourth Proportional to 881.72, 1,317 and 743.36

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Solution

The fourth proportional to 881.72, 1,317 and 743.36 is: 1,110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.72 : 1,317 = 743.36 : x
  2. Step 2: Convert to fraction form
    881.72/1,317 = 743.36/x
  3. Step 3: Cross multiply
    881.72x = 1,317 × 743.36
  4. Step 4: Simplify right side
    881.72x = 979,005.12
  5. Step 5: Solve for x
    x = 979,005.12/881.72
  6. Step 6: Final answer
    x = 1,110.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.