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Finding the Fourth Proportional to 541.34, 742.19 and 531.62

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Solution

The fourth proportional to 541.34, 742.19 and 531.62 is: 728.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.34 : 742.19 = 531.62 : x
  2. Step 2: Convert to fraction form
    541.34/742.19 = 531.62/x
  3. Step 3: Cross multiply
    541.34x = 742.19 × 531.62
  4. Step 4: Simplify right side
    541.34x = 394,563.05
  5. Step 5: Solve for x
    x = 394,563.05/541.34
  6. Step 6: Final answer
    x = 728.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.