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Finding the Fourth Proportional to 548.54, 757.74 and 499.34

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Solution

The fourth proportional to 548.54, 757.74 and 499.34 is: 689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.54 : 757.74 = 499.34 : x
  2. Step 2: Convert to fraction form
    548.54/757.74 = 499.34/x
  3. Step 3: Cross multiply
    548.54x = 757.74 × 499.34
  4. Step 4: Simplify right side
    548.54x = 378,366.10
  5. Step 5: Solve for x
    x = 378,366.10/548.54
  6. Step 6: Final answer
    x = 689.78

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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.