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Finding the Fourth Proportional to 551.67, 823.82 and 481.74

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Solution

The fourth proportional to 551.67, 823.82 and 481.74 is: 719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.67 : 823.82 = 481.74 : x
  2. Step 2: Convert to fraction form
    551.67/823.82 = 481.74/x
  3. Step 3: Cross multiply
    551.67x = 823.82 × 481.74
  4. Step 4: Simplify right side
    551.67x = 396,867.05
  5. Step 5: Solve for x
    x = 396,867.05/551.67
  6. Step 6: Final answer
    x = 719.39

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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.