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Finding the Fourth Proportional to 1,846.89, 2,770.80 and 548.33

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Solution

The fourth proportional to 1,846.89, 2,770.80 and 548.33 is: 822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.89 : 2,770.80 = 548.33 : x
  2. Step 2: Convert to fraction form
    1,846.89/2,770.80 = 548.33/x
  3. Step 3: Cross multiply
    1,846.89x = 2,770.80 × 548.33
  4. Step 4: Simplify right side
    1,846.89x = 1,519,298.91
  5. Step 5: Solve for x
    x = 1,519,298.91/1,846.89
  6. Step 6: Final answer
    x = 822.63

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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.