Home / 1,451.48-2,003.09-822.03

Finding the Fourth Proportional to 1,451.48, 2,003.09 and 822.03

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Solution

The fourth proportional to 1,451.48, 2,003.09 and 822.03 is: 1,134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.48 : 2,003.09 = 822.03 : x
  2. Step 2: Convert to fraction form
    1,451.48/2,003.09 = 822.03/x
  3. Step 3: Cross multiply
    1,451.48x = 2,003.09 × 822.03
  4. Step 4: Simplify right side
    1,451.48x = 1,646,607.14
  5. Step 5: Solve for x
    x = 1,646,607.14/1,451.48
  6. Step 6: Final answer
    x = 1,134.44

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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.