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Finding the Fourth Proportional to 889.03, 1,226.37 and 826.48

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Solution

The fourth proportional to 889.03, 1,226.37 and 826.48 is: 1,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.03 : 1,226.37 = 826.48 : x
  2. Step 2: Convert to fraction form
    889.03/1,226.37 = 826.48/x
  3. Step 3: Cross multiply
    889.03x = 1,226.37 × 826.48
  4. Step 4: Simplify right side
    889.03x = 1,013,570.28
  5. Step 5: Solve for x
    x = 1,013,570.28/889.03
  6. Step 6: Final answer
    x = 1,140.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.