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Finding the Fourth Proportional to 826.37, 1,238.69 and 387.39

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Solution

The fourth proportional to 826.37, 1,238.69 and 387.39 is: 580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.37 : 1,238.69 = 387.39 : x
  2. Step 2: Convert to fraction form
    826.37/1,238.69 = 387.39/x
  3. Step 3: Cross multiply
    826.37x = 1,238.69 × 387.39
  4. Step 4: Simplify right side
    826.37x = 479,854.18
  5. Step 5: Solve for x
    x = 479,854.18/826.37
  6. Step 6: Final answer
    x = 580.68

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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.