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Finding the Fourth Proportional to 837.84, 1,249.28 and 823.28

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Solution

The fourth proportional to 837.84, 1,249.28 and 823.28 is: 1,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.84 : 1,249.28 = 823.28 : x
  2. Step 2: Convert to fraction form
    837.84/1,249.28 = 823.28/x
  3. Step 3: Cross multiply
    837.84x = 1,249.28 × 823.28
  4. Step 4: Simplify right side
    837.84x = 1,028,507.24
  5. Step 5: Solve for x
    x = 1,028,507.24/837.84
  6. Step 6: Final answer
    x = 1,227.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.