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Finding the Fourth Proportional to 1,343.94, 1,854.54 and 754.37

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Solution

The fourth proportional to 1,343.94, 1,854.54 and 754.37 is: 1,040.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.94 : 1,854.54 = 754.37 : x
  2. Step 2: Convert to fraction form
    1,343.94/1,854.54 = 754.37/x
  3. Step 3: Cross multiply
    1,343.94x = 1,854.54 × 754.37
  4. Step 4: Simplify right side
    1,343.94x = 1,399,000.07
  5. Step 5: Solve for x
    x = 1,399,000.07/1,343.94
  6. Step 6: Final answer
    x = 1,040.97

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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.