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Finding the Fourth Proportional to 1,784.37, 2,676.81 and 551.88

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Solution

The fourth proportional to 1,784.37, 2,676.81 and 551.88 is: 827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.37 : 2,676.81 = 551.88 : x
  2. Step 2: Convert to fraction form
    1,784.37/2,676.81 = 551.88/x
  3. Step 3: Cross multiply
    1,784.37x = 2,676.81 × 551.88
  4. Step 4: Simplify right side
    1,784.37x = 1,477,277.90
  5. Step 5: Solve for x
    x = 1,477,277.90/1,784.37
  6. Step 6: Final answer
    x = 827.90

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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.