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Finding the Fourth Proportional to 837.98, 1,161.30 and 826.23

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Solution

The fourth proportional to 837.98, 1,161.30 and 826.23 is: 1,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.98 : 1,161.30 = 826.23 : x
  2. Step 2: Convert to fraction form
    837.98/1,161.30 = 826.23/x
  3. Step 3: Cross multiply
    837.98x = 1,161.30 × 826.23
  4. Step 4: Simplify right side
    837.98x = 959,500.90
  5. Step 5: Solve for x
    x = 959,500.90/837.98
  6. Step 6: Final answer
    x = 1,145.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.