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Finding the Fourth Proportional to 574.19, 862.84 and 300.49

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Solution

The fourth proportional to 574.19, 862.84 and 300.49 is: 451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.19 : 862.84 = 300.49 : x
  2. Step 2: Convert to fraction form
    574.19/862.84 = 300.49/x
  3. Step 3: Cross multiply
    574.19x = 862.84 × 300.49
  4. Step 4: Simplify right side
    574.19x = 259,273.01
  5. Step 5: Solve for x
    x = 259,273.01/574.19
  6. Step 6: Final answer
    x = 451.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.