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Finding the Fourth Proportional to 548.54, 757.10 and 362.05

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Solution

The fourth proportional to 548.54, 757.10 and 362.05 is: 499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.54 : 757.10 = 362.05 : x
  2. Step 2: Convert to fraction form
    548.54/757.10 = 362.05/x
  3. Step 3: Cross multiply
    548.54x = 757.10 × 362.05
  4. Step 4: Simplify right side
    548.54x = 274,108.55
  5. Step 5: Solve for x
    x = 274,108.55/548.54
  6. Step 6: Final answer
    x = 499.71

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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.