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Finding the Fourth Proportional to 800.62, 1,202.31 and 721.36

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Solution

The fourth proportional to 800.62, 1,202.31 and 721.36 is: 1,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.62 : 1,202.31 = 721.36 : x
  2. Step 2: Convert to fraction form
    800.62/1,202.31 = 721.36/x
  3. Step 3: Cross multiply
    800.62x = 1,202.31 × 721.36
  4. Step 4: Simplify right side
    800.62x = 867,298.34
  5. Step 5: Solve for x
    x = 867,298.34/800.62
  6. Step 6: Final answer
    x = 1,083.28

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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.