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Finding the Fourth Proportional to 823.96, 1,229.28 and 794.08

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Solution

The fourth proportional to 823.96, 1,229.28 and 794.08 is: 1,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.96 : 1,229.28 = 794.08 : x
  2. Step 2: Convert to fraction form
    823.96/1,229.28 = 794.08/x
  3. Step 3: Cross multiply
    823.96x = 1,229.28 × 794.08
  4. Step 4: Simplify right side
    823.96x = 976,146.66
  5. Step 5: Solve for x
    x = 976,146.66/823.96
  6. Step 6: Final answer
    x = 1,184.70

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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.