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Finding the Fourth Proportional to 826.96, 1,240.50 and 249.88

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Solution

The fourth proportional to 826.96, 1,240.50 and 249.88 is: 374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.96 : 1,240.50 = 249.88 : x
  2. Step 2: Convert to fraction form
    826.96/1,240.50 = 249.88/x
  3. Step 3: Cross multiply
    826.96x = 1,240.50 × 249.88
  4. Step 4: Simplify right side
    826.96x = 309,976.14
  5. Step 5: Solve for x
    x = 309,976.14/826.96
  6. Step 6: Final answer
    x = 374.84

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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.