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Finding the Fourth Proportional to 826.28, 1,239.42 and 442.28

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Solution

The fourth proportional to 826.28, 1,239.42 and 442.28 is: 663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.28 : 1,239.42 = 442.28 : x
  2. Step 2: Convert to fraction form
    826.28/1,239.42 = 442.28/x
  3. Step 3: Cross multiply
    826.28x = 1,239.42 × 442.28
  4. Step 4: Simplify right side
    826.28x = 548,170.68
  5. Step 5: Solve for x
    x = 548,170.68/826.28
  6. Step 6: Final answer
    x = 663.42

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1.5x scale

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.