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Finding the Fourth Proportional to 939.06, 1,294.38 and 822.42

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Solution

The fourth proportional to 939.06, 1,294.38 and 822.42 is: 1,133.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.06 : 1,294.38 = 822.42 : x
  2. Step 2: Convert to fraction form
    939.06/1,294.38 = 822.42/x
  3. Step 3: Cross multiply
    939.06x = 1,294.38 × 822.42
  4. Step 4: Simplify right side
    939.06x = 1,064,524.00
  5. Step 5: Solve for x
    x = 1,064,524.00/939.06
  6. Step 6: Final answer
    x = 1,133.61

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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.