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Finding the Fourth Proportional to 574.88, 862.33 and 142.04

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Solution

The fourth proportional to 574.88, 862.33 and 142.04 is: 213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.88 : 862.33 = 142.04 : x
  2. Step 2: Convert to fraction form
    574.88/862.33 = 142.04/x
  3. Step 3: Cross multiply
    574.88x = 862.33 × 142.04
  4. Step 4: Simplify right side
    574.88x = 122,485.35
  5. Step 5: Solve for x
    x = 122,485.35/574.88
  6. Step 6: Final answer
    x = 213.06

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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.