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Finding the Fourth Proportional to 832.22, 1,149.99 and 721.34

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Solution

The fourth proportional to 832.22, 1,149.99 and 721.34 is: 996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.22 : 1,149.99 = 721.34 : x
  2. Step 2: Convert to fraction form
    832.22/1,149.99 = 721.34/x
  3. Step 3: Cross multiply
    832.22x = 1,149.99 × 721.34
  4. Step 4: Simplify right side
    832.22x = 829,533.79
  5. Step 5: Solve for x
    x = 829,533.79/832.22
  6. Step 6: Final answer
    x = 996.77

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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.