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Finding the Fourth Proportional to 574.09, 796.31 and 554.42

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Solution

The fourth proportional to 574.09, 796.31 and 554.42 is: 769.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.09 : 796.31 = 554.42 : x
  2. Step 2: Convert to fraction form
    574.09/796.31 = 554.42/x
  3. Step 3: Cross multiply
    574.09x = 796.31 × 554.42
  4. Step 4: Simplify right side
    574.09x = 441,490.79
  5. Step 5: Solve for x
    x = 441,490.79/574.09
  6. Step 6: Final answer
    x = 769.03

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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.