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Finding the Fourth Proportional to 892, 1,337.80 and 344.08

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Solution

The fourth proportional to 892, 1,337.80 and 344.08 is: 516.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    892 : 1,337.80 = 344.08 : x
  2. Step 2: Convert to fraction form
    892/1,337.80 = 344.08/x
  3. Step 3: Cross multiply
    892x = 1,337.80 × 344.08
  4. Step 4: Simplify right side
    892x = 460,310.22
  5. Step 5: Solve for x
    x = 460,310.22/892
  6. Step 6: Final answer
    x = 516.04

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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.