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Finding the Fourth Proportional to 840.92, 1,255.03 and 819.05

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Solution

The fourth proportional to 840.92, 1,255.03 and 819.05 is: 1,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.92 : 1,255.03 = 819.05 : x
  2. Step 2: Convert to fraction form
    840.92/1,255.03 = 819.05/x
  3. Step 3: Cross multiply
    840.92x = 1,255.03 × 819.05
  4. Step 4: Simplify right side
    840.92x = 1,027,924.00
  5. Step 5: Solve for x
    x = 1,027,924.00/840.92
  6. Step 6: Final answer
    x = 1,222.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.