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Finding the Fourth Proportional to 541.56, 748.26 and 411.24

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Solution

The fourth proportional to 541.56, 748.26 and 411.24 is: 568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.56 : 748.26 = 411.24 : x
  2. Step 2: Convert to fraction form
    541.56/748.26 = 411.24/x
  3. Step 3: Cross multiply
    541.56x = 748.26 × 411.24
  4. Step 4: Simplify right side
    541.56x = 307,714.44
  5. Step 5: Solve for x
    x = 307,714.44/541.56
  6. Step 6: Final answer
    x = 568.20

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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.