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Finding the Fourth Proportional to 551.19, 823.82 and 481.23

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Solution

The fourth proportional to 551.19, 823.82 and 481.23 is: 719.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.19 : 823.82 = 481.23 : x
  2. Step 2: Convert to fraction form
    551.19/823.82 = 481.23/x
  3. Step 3: Cross multiply
    551.19x = 823.82 × 481.23
  4. Step 4: Simplify right side
    551.19x = 396,446.90
  5. Step 5: Solve for x
    x = 396,446.90/551.19
  6. Step 6: Final answer
    x = 719.26

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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.