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Finding the Fourth Proportional to 850.41, 1,274.81 and 538.22

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Solution

The fourth proportional to 850.41, 1,274.81 and 538.22 is: 806.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.41 : 1,274.81 = 538.22 : x
  2. Step 2: Convert to fraction form
    850.41/1,274.81 = 538.22/x
  3. Step 3: Cross multiply
    850.41x = 1,274.81 × 538.22
  4. Step 4: Simplify right side
    850.41x = 686,128.73
  5. Step 5: Solve for x
    x = 686,128.73/850.41
  6. Step 6: Final answer
    x = 806.82

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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.