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Finding the Fourth Proportional to 892, 1,339.52 and 845.83

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Solution

The fourth proportional to 892, 1,339.52 and 845.83 is: 1,270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    892 : 1,339.52 = 845.83 : x
  2. Step 2: Convert to fraction form
    892/1,339.52 = 845.83/x
  3. Step 3: Cross multiply
    892x = 1,339.52 × 845.83
  4. Step 4: Simplify right side
    892x = 1,133,006.20
  5. Step 5: Solve for x
    x = 1,133,006.20/892
  6. Step 6: Final answer
    x = 1,270.19

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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.