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Finding the Fourth Proportional to 737.23, 1,017.25 and 541.21

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Solution

The fourth proportional to 737.23, 1,017.25 and 541.21 is: 746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.23 : 1,017.25 = 541.21 : x
  2. Step 2: Convert to fraction form
    737.23/1,017.25 = 541.21/x
  3. Step 3: Cross multiply
    737.23x = 1,017.25 × 541.21
  4. Step 4: Simplify right side
    737.23x = 550,545.87
  5. Step 5: Solve for x
    x = 550,545.87/737.23
  6. Step 6: Final answer
    x = 746.78

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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.