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Finding the Fourth Proportional to 871.72, 1,193.93 and 821.23

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Solution

The fourth proportional to 871.72, 1,193.93 and 821.23 is: 1,124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.72 : 1,193.93 = 821.23 : x
  2. Step 2: Convert to fraction form
    871.72/1,193.93 = 821.23/x
  3. Step 3: Cross multiply
    871.72x = 1,193.93 × 821.23
  4. Step 4: Simplify right side
    871.72x = 980,491.13
  5. Step 5: Solve for x
    x = 980,491.13/871.72
  6. Step 6: Final answer
    x = 1,124.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.