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Finding the Fourth Proportional to 548.76, 762.38 and 543.70

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Solution

The fourth proportional to 548.76, 762.38 and 543.70 is: 755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.76 : 762.38 = 543.70 : x
  2. Step 2: Convert to fraction form
    548.76/762.38 = 543.70/x
  3. Step 3: Cross multiply
    548.76x = 762.38 × 543.70
  4. Step 4: Simplify right side
    548.76x = 414,506.01
  5. Step 5: Solve for x
    x = 414,506.01/548.76
  6. Step 6: Final answer
    x = 755.35

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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.