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Finding the Fourth Proportional to 825.41, 1,238.21 and 672.64

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Solution

The fourth proportional to 825.41, 1,238.21 and 672.64 is: 1,009.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.41 : 1,238.21 = 672.64 : x
  2. Step 2: Convert to fraction form
    825.41/1,238.21 = 672.64/x
  3. Step 3: Cross multiply
    825.41x = 1,238.21 × 672.64
  4. Step 4: Simplify right side
    825.41x = 832,869.57
  5. Step 5: Solve for x
    x = 832,869.57/825.41
  6. Step 6: Final answer
    x = 1,009.04

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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.