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Finding the Fourth Proportional to 600.76, 901.08 and 189.90

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Solution

The fourth proportional to 600.76, 901.08 and 189.90 is: 284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.76 : 901.08 = 189.90 : x
  2. Step 2: Convert to fraction form
    600.76/901.08 = 189.90/x
  3. Step 3: Cross multiply
    600.76x = 901.08 × 189.90
  4. Step 4: Simplify right side
    600.76x = 171,114.14
  5. Step 5: Solve for x
    x = 171,114.14/600.76
  6. Step 6: Final answer
    x = 284.83

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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.