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Finding the Fourth Proportional to 823.26, 1,230.06 and 794.55

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Solution

The fourth proportional to 823.26, 1,230.06 and 794.55 is: 1,187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.26 : 1,230.06 = 794.55 : x
  2. Step 2: Convert to fraction form
    823.26/1,230.06 = 794.55/x
  3. Step 3: Cross multiply
    823.26x = 1,230.06 × 794.55
  4. Step 4: Simplify right side
    823.26x = 977,351.77
  5. Step 5: Solve for x
    x = 977,351.77/823.26
  6. Step 6: Final answer
    x = 1,187.17

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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.