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Finding the Fourth Proportional to 892.37, 1,339.85 and 739.27

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Solution

The fourth proportional to 892.37, 1,339.85 and 739.27 is: 1,109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.37 : 1,339.85 = 739.27 : x
  2. Step 2: Convert to fraction form
    892.37/1,339.85 = 739.27/x
  3. Step 3: Cross multiply
    892.37x = 1,339.85 × 739.27
  4. Step 4: Simplify right side
    892.37x = 990,510.91
  5. Step 5: Solve for x
    x = 990,510.91/892.37
  6. Step 6: Final answer
    x = 1,109.98

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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.