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Finding the Fourth Proportional to 826.28, 1,239.81 and 415.46

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Solution

The fourth proportional to 826.28, 1,239.81 and 415.46 is: 623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.28 : 1,239.81 = 415.46 : x
  2. Step 2: Convert to fraction form
    826.28/1,239.81 = 415.46/x
  3. Step 3: Cross multiply
    826.28x = 1,239.81 × 415.46
  4. Step 4: Simplify right side
    826.28x = 515,091.46
  5. Step 5: Solve for x
    x = 515,091.46/826.28
  6. Step 6: Final answer
    x = 623.39

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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.