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Finding the Fourth Proportional to 1,208.46, 1,811.43 and 687.34

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Solution

The fourth proportional to 1,208.46, 1,811.43 and 687.34 is: 1,030.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.46 : 1,811.43 = 687.34 : x
  2. Step 2: Convert to fraction form
    1,208.46/1,811.43 = 687.34/x
  3. Step 3: Cross multiply
    1,208.46x = 1,811.43 × 687.34
  4. Step 4: Simplify right side
    1,208.46x = 1,245,063.77
  5. Step 5: Solve for x
    x = 1,245,063.77/1,208.46
  6. Step 6: Final answer
    x = 1,030.29

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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.