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Finding the Fourth Proportional to 850.20, 1,278.38 and 782.53

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Solution

The fourth proportional to 850.20, 1,278.38 and 782.53 is: 1,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.20 : 1,278.38 = 782.53 : x
  2. Step 2: Convert to fraction form
    850.20/1,278.38 = 782.53/x
  3. Step 3: Cross multiply
    850.20x = 1,278.38 × 782.53
  4. Step 4: Simplify right side
    850.20x = 1,000,370.70
  5. Step 5: Solve for x
    x = 1,000,370.70/850.20
  6. Step 6: Final answer
    x = 1,176.63

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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.