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Finding the Fourth Proportional to 543.27, 748.84 and 346.44

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Solution

The fourth proportional to 543.27, 748.84 and 346.44 is: 477.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.27 : 748.84 = 346.44 : x
  2. Step 2: Convert to fraction form
    543.27/748.84 = 346.44/x
  3. Step 3: Cross multiply
    543.27x = 748.84 × 346.44
  4. Step 4: Simplify right side
    543.27x = 259,429.14
  5. Step 5: Solve for x
    x = 259,429.14/543.27
  6. Step 6: Final answer
    x = 477.53

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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.