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Finding the Fourth Proportional to 850.62, 1,265.12 and 847.74

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Solution

The fourth proportional to 850.62, 1,265.12 and 847.74 is: 1,260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.62 : 1,265.12 = 847.74 : x
  2. Step 2: Convert to fraction form
    850.62/1,265.12 = 847.74/x
  3. Step 3: Cross multiply
    850.62x = 1,265.12 × 847.74
  4. Step 4: Simplify right side
    850.62x = 1,072,488.59
  5. Step 5: Solve for x
    x = 1,072,488.59/850.62
  6. Step 6: Final answer
    x = 1,260.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.