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Finding the Fourth Proportional to 1,208.94, 1,809.85 and 1,083.91

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Solution

The fourth proportional to 1,208.94, 1,809.85 and 1,083.91 is: 1,622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.94 : 1,809.85 = 1,083.91 : x
  2. Step 2: Convert to fraction form
    1,208.94/1,809.85 = 1,083.91/x
  3. Step 3: Cross multiply
    1,208.94x = 1,809.85 × 1,083.91
  4. Step 4: Simplify right side
    1,208.94x = 1,961,714.51
  5. Step 5: Solve for x
    x = 1,961,714.51/1,208.94
  6. Step 6: Final answer
    x = 1,622.67

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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.