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Finding the Fourth Proportional to 823.26, 1,230.07 and 794.56

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Solution

The fourth proportional to 823.26, 1,230.07 and 794.56 is: 1,187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.26 : 1,230.07 = 794.56 : x
  2. Step 2: Convert to fraction form
    823.26/1,230.07 = 794.56/x
  3. Step 3: Cross multiply
    823.26x = 1,230.07 × 794.56
  4. Step 4: Simplify right side
    823.26x = 977,364.42
  5. Step 5: Solve for x
    x = 977,364.42/823.26
  6. Step 6: Final answer
    x = 1,187.19

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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.