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Finding the Fourth Proportional to 1,783.95, 2,676.01 and 551.49

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Solution

The fourth proportional to 1,783.95, 2,676.01 and 551.49 is: 827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.95 : 2,676.01 = 551.49 : x
  2. Step 2: Convert to fraction form
    1,783.95/2,676.01 = 551.49/x
  3. Step 3: Cross multiply
    1,783.95x = 2,676.01 × 551.49
  4. Step 4: Simplify right side
    1,783.95x = 1,475,792.75
  5. Step 5: Solve for x
    x = 1,475,792.75/1,783.95
  6. Step 6: Final answer
    x = 827.26

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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.