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Finding the Fourth Proportional to 850.43, 1,274.97 and 782.09

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Solution

The fourth proportional to 850.43, 1,274.97 and 782.09 is: 1,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.43 : 1,274.97 = 782.09 : x
  2. Step 2: Convert to fraction form
    850.43/1,274.97 = 782.09/x
  3. Step 3: Cross multiply
    850.43x = 1,274.97 × 782.09
  4. Step 4: Simplify right side
    850.43x = 997,144.47
  5. Step 5: Solve for x
    x = 997,144.47/850.43
  6. Step 6: Final answer
    x = 1,172.51

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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.