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Finding the Fourth Proportional to 576, 796.48 and 548.80

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Solution

The fourth proportional to 576, 796.48 and 548.80 is: 758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    576 : 796.48 = 548.80 : x
  2. Step 2: Convert to fraction form
    576/796.48 = 548.80/x
  3. Step 3: Cross multiply
    576x = 796.48 × 548.80
  4. Step 4: Simplify right side
    576x = 437,108.22
  5. Step 5: Solve for x
    x = 437,108.22/576
  6. Step 6: Final answer
    x = 758.87

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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.