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Finding the Fourth Proportional to 1,271.92, 1,908.48 and 450.82

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Solution

The fourth proportional to 1,271.92, 1,908.48 and 450.82 is: 676.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.92 : 1,908.48 = 450.82 : x
  2. Step 2: Convert to fraction form
    1,271.92/1,908.48 = 450.82/x
  3. Step 3: Cross multiply
    1,271.92x = 1,908.48 × 450.82
  4. Step 4: Simplify right side
    1,271.92x = 860,380.95
  5. Step 5: Solve for x
    x = 860,380.95/1,271.92
  6. Step 6: Final answer
    x = 676.44

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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.