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Finding the Fourth Proportional to 727.51, 1,003.96 and 395.95

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Solution

The fourth proportional to 727.51, 1,003.96 and 395.95 is: 546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.51 : 1,003.96 = 395.95 : x
  2. Step 2: Convert to fraction form
    727.51/1,003.96 = 395.95/x
  3. Step 3: Cross multiply
    727.51x = 1,003.96 × 395.95
  4. Step 4: Simplify right side
    727.51x = 397,512.94
  5. Step 5: Solve for x
    x = 397,512.94/727.51
  6. Step 6: Final answer
    x = 546.41

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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.