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Finding the Fourth Proportional to 826.50, 1,238.92 and 338.88

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Solution

The fourth proportional to 826.50, 1,238.92 and 338.88 is: 507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.50 : 1,238.92 = 338.88 : x
  2. Step 2: Convert to fraction form
    826.50/1,238.92 = 338.88/x
  3. Step 3: Cross multiply
    826.50x = 1,238.92 × 338.88
  4. Step 4: Simplify right side
    826.50x = 419,845.21
  5. Step 5: Solve for x
    x = 419,845.21/826.50
  6. Step 6: Final answer
    x = 507.98

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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.