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Finding the Fourth Proportional to 725.10, 1,083.05 and 622.77

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Solution

The fourth proportional to 725.10, 1,083.05 and 622.77 is: 930.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.10 : 1,083.05 = 622.77 : x
  2. Step 2: Convert to fraction form
    725.10/1,083.05 = 622.77/x
  3. Step 3: Cross multiply
    725.10x = 1,083.05 × 622.77
  4. Step 4: Simplify right side
    725.10x = 674,487.93
  5. Step 5: Solve for x
    x = 674,487.93/725.10
  6. Step 6: Final answer
    x = 930.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.