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Finding the Fourth Proportional to 823.98, 1,234.13 and 712.83

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Solution

The fourth proportional to 823.98, 1,234.13 and 712.83 is: 1,067.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.98 : 1,234.13 = 712.83 : x
  2. Step 2: Convert to fraction form
    823.98/1,234.13 = 712.83/x
  3. Step 3: Cross multiply
    823.98x = 1,234.13 × 712.83
  4. Step 4: Simplify right side
    823.98x = 879,721.32
  5. Step 5: Solve for x
    x = 879,721.32/823.98
  6. Step 6: Final answer
    x = 1,067.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.