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Finding the Fourth Proportional to 1,208.22, 1,811.82 and 375.18

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Solution

The fourth proportional to 1,208.22, 1,811.82 and 375.18 is: 562.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.22 : 1,811.82 = 375.18 : x
  2. Step 2: Convert to fraction form
    1,208.22/1,811.82 = 375.18/x
  3. Step 3: Cross multiply
    1,208.22x = 1,811.82 × 375.18
  4. Step 4: Simplify right side
    1,208.22x = 679,758.63
  5. Step 5: Solve for x
    x = 679,758.63/1,208.22
  6. Step 6: Final answer
    x = 562.61

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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.