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Finding the Fourth Proportional to 600.60, 900.86 and 189.73

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Solution

The fourth proportional to 600.60, 900.86 and 189.73 is: 284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.60 : 900.86 = 189.73 : x
  2. Step 2: Convert to fraction form
    600.60/900.86 = 189.73/x
  3. Step 3: Cross multiply
    600.60x = 900.86 × 189.73
  4. Step 4: Simplify right side
    600.60x = 170,916.97
  5. Step 5: Solve for x
    x = 170,916.97/600.60
  6. Step 6: Final answer
    x = 284.58

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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.