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Finding the Fourth Proportional to 1,647.75, 2,471.09 and 551.82

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Solution

The fourth proportional to 1,647.75, 2,471.09 and 551.82 is: 827.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.75 : 2,471.09 = 551.82 : x
  2. Step 2: Convert to fraction form
    1,647.75/2,471.09 = 551.82/x
  3. Step 3: Cross multiply
    1,647.75x = 2,471.09 × 551.82
  4. Step 4: Simplify right side
    1,647.75x = 1,363,596.88
  5. Step 5: Solve for x
    x = 1,363,596.88/1,647.75
  6. Step 6: Final answer
    x = 827.55

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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.