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Finding the Fourth Proportional to 826.28, 1,238.67 and 387.36

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Solution

The fourth proportional to 826.28, 1,238.67 and 387.36 is: 580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.28 : 1,238.67 = 387.36 : x
  2. Step 2: Convert to fraction form
    826.28/1,238.67 = 387.36/x
  3. Step 3: Cross multiply
    826.28x = 1,238.67 × 387.36
  4. Step 4: Simplify right side
    826.28x = 479,811.21
  5. Step 5: Solve for x
    x = 479,811.21/826.28
  6. Step 6: Final answer
    x = 580.69

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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.