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Finding the Fourth Proportional to 551.69, 827.49 and 397.89

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Solution

The fourth proportional to 551.69, 827.49 and 397.89 is: 596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.69 : 827.49 = 397.89 : x
  2. Step 2: Convert to fraction form
    551.69/827.49 = 397.89/x
  3. Step 3: Cross multiply
    551.69x = 827.49 × 397.89
  4. Step 4: Simplify right side
    551.69x = 329,250.00
  5. Step 5: Solve for x
    x = 329,250.00/551.69
  6. Step 6: Final answer
    x = 596.81

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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.