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Finding the Fourth Proportional to 579.24, 869 and 194.52

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Solution

The fourth proportional to 579.24, 869 and 194.52 is: 291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.24 : 869 = 194.52 : x
  2. Step 2: Convert to fraction form
    579.24/869 = 194.52/x
  3. Step 3: Cross multiply
    579.24x = 869 × 194.52
  4. Step 4: Simplify right side
    579.24x = 169,037.88
  5. Step 5: Solve for x
    x = 169,037.88/579.24
  6. Step 6: Final answer
    x = 291.83

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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.