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Finding the Fourth Proportional to 551.56, 827.04 and 262.84

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Solution

The fourth proportional to 551.56, 827.04 and 262.84 is: 394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.56 : 827.04 = 262.84 : x
  2. Step 2: Convert to fraction form
    551.56/827.04 = 262.84/x
  3. Step 3: Cross multiply
    551.56x = 827.04 × 262.84
  4. Step 4: Simplify right side
    551.56x = 217,379.19
  5. Step 5: Solve for x
    x = 217,379.19/551.56
  6. Step 6: Final answer
    x = 394.12

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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.