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Finding the Fourth Proportional to 1,208.41, 1,811.93 and 622.73

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Solution

The fourth proportional to 1,208.41, 1,811.93 and 622.73 is: 933.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.41 : 1,811.93 = 622.73 : x
  2. Step 2: Convert to fraction form
    1,208.41/1,811.93 = 622.73/x
  3. Step 3: Cross multiply
    1,208.41x = 1,811.93 × 622.73
  4. Step 4: Simplify right side
    1,208.41x = 1,128,343.17
  5. Step 5: Solve for x
    x = 1,128,343.17/1,208.41
  6. Step 6: Final answer
    x = 933.74

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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.