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Finding the Fourth Proportional to 1,784.01, 2,676.39 and 551.50

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Solution

The fourth proportional to 1,784.01, 2,676.39 and 551.50 is: 827.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.01 : 2,676.39 = 551.50 : x
  2. Step 2: Convert to fraction form
    1,784.01/2,676.39 = 551.50/x
  3. Step 3: Cross multiply
    1,784.01x = 2,676.39 × 551.50
  4. Step 4: Simplify right side
    1,784.01x = 1,476,029.09
  5. Step 5: Solve for x
    x = 1,476,029.09/1,784.01
  6. Step 6: Final answer
    x = 827.37

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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.