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Finding the Fourth Proportional to 551.89, 827.84 and 309.95

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Solution

The fourth proportional to 551.89, 827.84 and 309.95 is: 464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.89 : 827.84 = 309.95 : x
  2. Step 2: Convert to fraction form
    551.89/827.84 = 309.95/x
  3. Step 3: Cross multiply
    551.89x = 827.84 × 309.95
  4. Step 4: Simplify right side
    551.89x = 256,589.01
  5. Step 5: Solve for x
    x = 256,589.01/551.89
  6. Step 6: Final answer
    x = 464.93

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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.