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Finding the Fourth Proportional to 574.93, 862.40 and 142.09

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Solution

The fourth proportional to 574.93, 862.40 and 142.09 is: 213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.93 : 862.40 = 142.09 : x
  2. Step 2: Convert to fraction form
    574.93/862.40 = 142.09/x
  3. Step 3: Cross multiply
    574.93x = 862.40 × 142.09
  4. Step 4: Simplify right side
    574.93x = 122,538.42
  5. Step 5: Solve for x
    x = 122,538.42/574.93
  6. Step 6: Final answer
    x = 213.14

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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.