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Finding the Fourth Proportional to 853.53, 1,278.57 and 792.03

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Solution

The fourth proportional to 853.53, 1,278.57 and 792.03 is: 1,186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.53 : 1,278.57 = 792.03 : x
  2. Step 2: Convert to fraction form
    853.53/1,278.57 = 792.03/x
  3. Step 3: Cross multiply
    853.53x = 1,278.57 × 792.03
  4. Step 4: Simplify right side
    853.53x = 1,012,665.80
  5. Step 5: Solve for x
    x = 1,012,665.80/853.53
  6. Step 6: Final answer
    x = 1,186.44

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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.