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Finding the Fourth Proportional to 826.09, 1,239.07 and 305.85

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Solution

The fourth proportional to 826.09, 1,239.07 and 305.85 is: 458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.09 : 1,239.07 = 305.85 : x
  2. Step 2: Convert to fraction form
    826.09/1,239.07 = 305.85/x
  3. Step 3: Cross multiply
    826.09x = 1,239.07 × 305.85
  4. Step 4: Simplify right side
    826.09x = 378,963.95
  5. Step 5: Solve for x
    x = 378,963.95/826.09
  6. Step 6: Final answer
    x = 458.75

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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.