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Finding the Fourth Proportional to 551.83, 827.75 and 263.20

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Solution

The fourth proportional to 551.83, 827.75 and 263.20 is: 394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.83 : 827.75 = 263.20 : x
  2. Step 2: Convert to fraction form
    551.83/827.75 = 263.20/x
  3. Step 3: Cross multiply
    551.83x = 827.75 × 263.20
  4. Step 4: Simplify right side
    551.83x = 217,860.41
  5. Step 5: Solve for x
    x = 217,860.41/551.83
  6. Step 6: Final answer
    x = 394.80

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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.