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Finding the Fourth Proportional to 543.10, 748.21 and 444.28

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Solution

The fourth proportional to 543.10, 748.21 and 444.28 is: 612.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.10 : 748.21 = 444.28 : x
  2. Step 2: Convert to fraction form
    543.10/748.21 = 444.28/x
  3. Step 3: Cross multiply
    543.10x = 748.21 × 444.28
  4. Step 4: Simplify right side
    543.10x = 332,408.78
  5. Step 5: Solve for x
    x = 332,408.78/543.10
  6. Step 6: Final answer
    x = 612.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.