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Finding the Fourth Proportional to 826.11, 1,239.04 and 278.29

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Solution

The fourth proportional to 826.11, 1,239.04 and 278.29 is: 417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.11 : 1,239.04 = 278.29 : x
  2. Step 2: Convert to fraction form
    826.11/1,239.04 = 278.29/x
  3. Step 3: Cross multiply
    826.11x = 1,239.04 × 278.29
  4. Step 4: Simplify right side
    826.11x = 344,812.44
  5. Step 5: Solve for x
    x = 344,812.44/826.11
  6. Step 6: Final answer
    x = 417.39

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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.