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Finding the Fourth Proportional to 1,364.78, 2,049.22 and 819.40

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Solution

The fourth proportional to 1,364.78, 2,049.22 and 819.40 is: 1,230.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.78 : 2,049.22 = 819.40 : x
  2. Step 2: Convert to fraction form
    1,364.78/2,049.22 = 819.40/x
  3. Step 3: Cross multiply
    1,364.78x = 2,049.22 × 819.40
  4. Step 4: Simplify right side
    1,364.78x = 1,679,130.87
  5. Step 5: Solve for x
    x = 1,679,130.87/1,364.78
  6. Step 6: Final answer
    x = 1,230.33

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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.