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Finding the Fourth Proportional to 853.14, 1,278.67 and 442.05

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Solution

The fourth proportional to 853.14, 1,278.67 and 442.05 is: 662.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.14 : 1,278.67 = 442.05 : x
  2. Step 2: Convert to fraction form
    853.14/1,278.67 = 442.05/x
  3. Step 3: Cross multiply
    853.14x = 1,278.67 × 442.05
  4. Step 4: Simplify right side
    853.14x = 565,236.07
  5. Step 5: Solve for x
    x = 565,236.07/853.14
  6. Step 6: Final answer
    x = 662.54

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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.