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Finding the Fourth Proportional to 547.02, 814.73 and 518.94

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Solution

The fourth proportional to 547.02, 814.73 and 518.94 is: 772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.02 : 814.73 = 518.94 : x
  2. Step 2: Convert to fraction form
    547.02/814.73 = 518.94/x
  3. Step 3: Cross multiply
    547.02x = 814.73 × 518.94
  4. Step 4: Simplify right side
    547.02x = 422,793.39
  5. Step 5: Solve for x
    x = 422,793.39/547.02
  6. Step 6: Final answer
    x = 772.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.