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Finding the Fourth Proportional to 541.98, 748.23 and 409.05

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Solution

The fourth proportional to 541.98, 748.23 and 409.05 is: 564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.98 : 748.23 = 409.05 : x
  2. Step 2: Convert to fraction form
    541.98/748.23 = 409.05/x
  3. Step 3: Cross multiply
    541.98x = 748.23 × 409.05
  4. Step 4: Simplify right side
    541.98x = 306,063.48
  5. Step 5: Solve for x
    x = 306,063.48/541.98
  6. Step 6: Final answer
    x = 564.71

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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.