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Finding the Fourth Proportional to 853.25, 1,278.15 and 622.62

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Solution

The fourth proportional to 853.25, 1,278.15 and 622.62 is: 932.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.25 : 1,278.15 = 622.62 : x
  2. Step 2: Convert to fraction form
    853.25/1,278.15 = 622.62/x
  3. Step 3: Cross multiply
    853.25x = 1,278.15 × 622.62
  4. Step 4: Simplify right side
    853.25x = 795,799.42
  5. Step 5: Solve for x
    x = 795,799.42/853.25
  6. Step 6: Final answer
    x = 932.67

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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.