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Finding the Fourth Proportional to 725.96, 1,001.81 and 394.38

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Solution

The fourth proportional to 725.96, 1,001.81 and 394.38 is: 544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.96 : 1,001.81 = 394.38 : x
  2. Step 2: Convert to fraction form
    725.96/1,001.81 = 394.38/x
  3. Step 3: Cross multiply
    725.96x = 1,001.81 × 394.38
  4. Step 4: Simplify right side
    725.96x = 395,094.81
  5. Step 5: Solve for x
    x = 395,094.81/725.96
  6. Step 6: Final answer
    x = 544.24

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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.