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Finding the Fourth Proportional to 600.58, 900.92 and 189.78

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Solution

The fourth proportional to 600.58, 900.92 and 189.78 is: 284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.58 : 900.92 = 189.78 : x
  2. Step 2: Convert to fraction form
    600.58/900.92 = 189.78/x
  3. Step 3: Cross multiply
    600.58x = 900.92 × 189.78
  4. Step 4: Simplify right side
    600.58x = 170,976.60
  5. Step 5: Solve for x
    x = 170,976.60/600.58
  6. Step 6: Final answer
    x = 284.69

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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.