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Finding the Fourth Proportional to 725.05, 1,085.75 and 622.99

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Solution

The fourth proportional to 725.05, 1,085.75 and 622.99 is: 932.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.05 : 1,085.75 = 622.99 : x
  2. Step 2: Convert to fraction form
    725.05/1,085.75 = 622.99/x
  3. Step 3: Cross multiply
    725.05x = 1,085.75 × 622.99
  4. Step 4: Simplify right side
    725.05x = 676,411.39
  5. Step 5: Solve for x
    x = 676,411.39/725.05
  6. Step 6: Final answer
    x = 932.92

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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.