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Finding the Fourth Proportional to 1,365.73, 1,884.72 and 744.73

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Solution

The fourth proportional to 1,365.73, 1,884.72 and 744.73 is: 1,027.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.73 : 1,884.72 = 744.73 : x
  2. Step 2: Convert to fraction form
    1,365.73/1,884.72 = 744.73/x
  3. Step 3: Cross multiply
    1,365.73x = 1,884.72 × 744.73
  4. Step 4: Simplify right side
    1,365.73x = 1,403,607.53
  5. Step 5: Solve for x
    x = 1,403,607.53/1,365.73
  6. Step 6: Final answer
    x = 1,027.73

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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.