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Finding the Fourth Proportional to 1,367.89, 2,052.44 and 546.78

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Solution

The fourth proportional to 1,367.89, 2,052.44 and 546.78 is: 820.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.89 : 2,052.44 = 546.78 : x
  2. Step 2: Convert to fraction form
    1,367.89/2,052.44 = 546.78/x
  3. Step 3: Cross multiply
    1,367.89x = 2,052.44 × 546.78
  4. Step 4: Simplify right side
    1,367.89x = 1,122,222.84
  5. Step 5: Solve for x
    x = 1,122,222.84/1,367.89
  6. Step 6: Final answer
    x = 820.41

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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.