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Finding the Fourth Proportional to 722.62, 1,083.13 and 664.23

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Solution

The fourth proportional to 722.62, 1,083.13 and 664.23 is: 995.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.62 : 1,083.13 = 664.23 : x
  2. Step 2: Convert to fraction form
    722.62/1,083.13 = 664.23/x
  3. Step 3: Cross multiply
    722.62x = 1,083.13 × 664.23
  4. Step 4: Simplify right side
    722.62x = 719,449.35
  5. Step 5: Solve for x
    x = 719,449.35/722.62
  6. Step 6: Final answer
    x = 995.61

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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.