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Finding the Fourth Proportional to 850.31, 1,283.12 and 819.80

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Solution

The fourth proportional to 850.31, 1,283.12 and 819.80 is: 1,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.31 : 1,283.12 = 819.80 : x
  2. Step 2: Convert to fraction form
    850.31/1,283.12 = 819.80/x
  3. Step 3: Cross multiply
    850.31x = 1,283.12 × 819.80
  4. Step 4: Simplify right side
    850.31x = 1,051,891.26
  5. Step 5: Solve for x
    x = 1,051,891.26/850.31
  6. Step 6: Final answer
    x = 1,237.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.