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Finding the Fourth Proportional to 727.33, 1,003.86 and 571.81

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Solution

The fourth proportional to 727.33, 1,003.86 and 571.81 is: 789.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.33 : 1,003.86 = 571.81 : x
  2. Step 2: Convert to fraction form
    727.33/1,003.86 = 571.81/x
  3. Step 3: Cross multiply
    727.33x = 1,003.86 × 571.81
  4. Step 4: Simplify right side
    727.33x = 574,017.19
  5. Step 5: Solve for x
    x = 574,017.19/727.33
  6. Step 6: Final answer
    x = 789.21

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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.