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Finding the Fourth Proportional to 727.25, 1,002.95 and 541.21

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Solution

The fourth proportional to 727.25, 1,002.95 and 541.21 is: 746.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.25 : 1,002.95 = 541.21 : x
  2. Step 2: Convert to fraction form
    727.25/1,002.95 = 541.21/x
  3. Step 3: Cross multiply
    727.25x = 1,002.95 × 541.21
  4. Step 4: Simplify right side
    727.25x = 542,801.36
  5. Step 5: Solve for x
    x = 542,801.36/727.25
  6. Step 6: Final answer
    x = 746.37

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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.