Home / 1,089.20-1,631.44-826.28

Finding the Fourth Proportional to 1,089.20, 1,631.44 and 826.28

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Solution

The fourth proportional to 1,089.20, 1,631.44 and 826.28 is: 1,237.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.20 : 1,631.44 = 826.28 : x
  2. Step 2: Convert to fraction form
    1,089.20/1,631.44 = 826.28/x
  3. Step 3: Cross multiply
    1,089.20x = 1,631.44 × 826.28
  4. Step 4: Simplify right side
    1,089.20x = 1,348,026.24
  5. Step 5: Solve for x
    x = 1,348,026.24/1,089.20
  6. Step 6: Final answer
    x = 1,237.63

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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.