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Finding the Fourth Proportional to 826.17, 1,238.55 and 338.91

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Solution

The fourth proportional to 826.17, 1,238.55 and 338.91 is: 508.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.17 : 1,238.55 = 338.91 : x
  2. Step 2: Convert to fraction form
    826.17/1,238.55 = 338.91/x
  3. Step 3: Cross multiply
    826.17x = 1,238.55 × 338.91
  4. Step 4: Simplify right side
    826.17x = 419,756.98
  5. Step 5: Solve for x
    x = 419,756.98/826.17
  6. Step 6: Final answer
    x = 508.08

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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.