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Finding the Fourth Proportional to 1,141.21, 1,575.62 and 721.73

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Solution

The fourth proportional to 1,141.21, 1,575.62 and 721.73 is: 996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.21 : 1,575.62 = 721.73 : x
  2. Step 2: Convert to fraction form
    1,141.21/1,575.62 = 721.73/x
  3. Step 3: Cross multiply
    1,141.21x = 1,575.62 × 721.73
  4. Step 4: Simplify right side
    1,141.21x = 1,137,172.22
  5. Step 5: Solve for x
    x = 1,137,172.22/1,141.21
  6. Step 6: Final answer
    x = 996.46

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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.