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Finding the Fourth Proportional to 1,375.22, 1,897.83 and 754.22

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Solution

The fourth proportional to 1,375.22, 1,897.83 and 754.22 is: 1,040.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.22 : 1,897.83 = 754.22 : x
  2. Step 2: Convert to fraction form
    1,375.22/1,897.83 = 754.22/x
  3. Step 3: Cross multiply
    1,375.22x = 1,897.83 × 754.22
  4. Step 4: Simplify right side
    1,375.22x = 1,431,381.34
  5. Step 5: Solve for x
    x = 1,431,381.34/1,375.22
  6. Step 6: Final answer
    x = 1,040.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.