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Finding the Fourth Proportional to 826.72, 1,238.42 and 394.16

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Solution

The fourth proportional to 826.72, 1,238.42 and 394.16 is: 590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.72 : 1,238.42 = 394.16 : x
  2. Step 2: Convert to fraction form
    826.72/1,238.42 = 394.16/x
  3. Step 3: Cross multiply
    826.72x = 1,238.42 × 394.16
  4. Step 4: Simplify right side
    826.72x = 488,135.63
  5. Step 5: Solve for x
    x = 488,135.63/826.72
  6. Step 6: Final answer
    x = 590.45

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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.