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Finding the Fourth Proportional to 550.49, 762.68 and 543.80

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Solution

The fourth proportional to 550.49, 762.68 and 543.80 is: 753.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.49 : 762.68 = 543.80 : x
  2. Step 2: Convert to fraction form
    550.49/762.68 = 543.80/x
  3. Step 3: Cross multiply
    550.49x = 762.68 × 543.80
  4. Step 4: Simplify right side
    550.49x = 414,738.85
  5. Step 5: Solve for x
    x = 414,738.85/550.49
  6. Step 6: Final answer
    x = 753.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.