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Finding the Fourth Proportional to 850.05, 1,171.78 and 640.92

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Solution

The fourth proportional to 850.05, 1,171.78 and 640.92 is: 883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.05 : 1,171.78 = 640.92 : x
  2. Step 2: Convert to fraction form
    850.05/1,171.78 = 640.92/x
  3. Step 3: Cross multiply
    850.05x = 1,171.78 × 640.92
  4. Step 4: Simplify right side
    850.05x = 751,020.03
  5. Step 5: Solve for x
    x = 751,020.03/850.05
  6. Step 6: Final answer
    x = 883.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.