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Finding the Fourth Proportional to 575.13, 862.71 and 142.28

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Solution

The fourth proportional to 575.13, 862.71 and 142.28 is: 213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.13 : 862.71 = 142.28 : x
  2. Step 2: Convert to fraction form
    575.13/862.71 = 142.28/x
  3. Step 3: Cross multiply
    575.13x = 862.71 × 142.28
  4. Step 4: Simplify right side
    575.13x = 122,745.67
  5. Step 5: Solve for x
    x = 122,745.67/575.13
  6. Step 6: Final answer
    x = 213.42

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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.