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Finding the Fourth Proportional to 826.30, 1,238.55 and 415.54

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Solution

The fourth proportional to 826.30, 1,238.55 and 415.54 is: 622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.30 : 1,238.55 = 415.54 : x
  2. Step 2: Convert to fraction form
    826.30/1,238.55 = 415.54/x
  3. Step 3: Cross multiply
    826.30x = 1,238.55 × 415.54
  4. Step 4: Simplify right side
    826.30x = 514,667.07
  5. Step 5: Solve for x
    x = 514,667.07/826.30
  6. Step 6: Final answer
    x = 622.86

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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.