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Finding the Fourth Proportional to 823.58, 1,234.37 and 476.19

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Solution

The fourth proportional to 823.58, 1,234.37 and 476.19 is: 713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.58 : 1,234.37 = 476.19 : x
  2. Step 2: Convert to fraction form
    823.58/1,234.37 = 476.19/x
  3. Step 3: Cross multiply
    823.58x = 1,234.37 × 476.19
  4. Step 4: Simplify right side
    823.58x = 587,792.27
  5. Step 5: Solve for x
    x = 587,792.27/823.58
  6. Step 6: Final answer
    x = 713.71

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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.