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Finding the Fourth Proportional to 811.96, 1,121.26 and 723.46

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Solution

The fourth proportional to 811.96, 1,121.26 and 723.46 is: 999.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.96 : 1,121.26 = 723.46 : x
  2. Step 2: Convert to fraction form
    811.96/1,121.26 = 723.46/x
  3. Step 3: Cross multiply
    811.96x = 1,121.26 × 723.46
  4. Step 4: Simplify right side
    811.96x = 811,179.40
  5. Step 5: Solve for x
    x = 811,179.40/811.96
  6. Step 6: Final answer
    x = 999.04

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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.