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Finding the Fourth Proportional to 542.75, 748.76 and 343.48

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Solution

The fourth proportional to 542.75, 748.76 and 343.48 is: 473.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.75 : 748.76 = 343.48 : x
  2. Step 2: Convert to fraction form
    542.75/748.76 = 343.48/x
  3. Step 3: Cross multiply
    542.75x = 748.76 × 343.48
  4. Step 4: Simplify right side
    542.75x = 257,185.96
  5. Step 5: Solve for x
    x = 257,185.96/542.75
  6. Step 6: Final answer
    x = 473.86

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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.