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Finding the Fourth Proportional to 891.14, 1,336.62 and 274.85

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Solution

The fourth proportional to 891.14, 1,336.62 and 274.85 is: 412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.14 : 1,336.62 = 274.85 : x
  2. Step 2: Convert to fraction form
    891.14/1,336.62 = 274.85/x
  3. Step 3: Cross multiply
    891.14x = 1,336.62 × 274.85
  4. Step 4: Simplify right side
    891.14x = 367,370.01
  5. Step 5: Solve for x
    x = 367,370.01/891.14
  6. Step 6: Final answer
    x = 412.25

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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.