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Finding the Fourth Proportional to 892.11, 1,337.49 and 275.45

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Solution

The fourth proportional to 892.11, 1,337.49 and 275.45 is: 412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.11 : 1,337.49 = 275.45 : x
  2. Step 2: Convert to fraction form
    892.11/1,337.49 = 275.45/x
  3. Step 3: Cross multiply
    892.11x = 1,337.49 × 275.45
  4. Step 4: Simplify right side
    892.11x = 368,415.65
  5. Step 5: Solve for x
    x = 368,415.65/892.11
  6. Step 6: Final answer
    x = 412.97

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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.