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Finding the Fourth Proportional to 1,369.74, 1,888.36 and 1,033.49

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Solution

The fourth proportional to 1,369.74, 1,888.36 and 1,033.49 is: 1,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.74 : 1,888.36 = 1,033.49 : x
  2. Step 2: Convert to fraction form
    1,369.74/1,888.36 = 1,033.49/x
  3. Step 3: Cross multiply
    1,369.74x = 1,888.36 × 1,033.49
  4. Step 4: Simplify right side
    1,369.74x = 1,951,603.31
  5. Step 5: Solve for x
    x = 1,951,603.31/1,369.74
  6. Step 6: Final answer
    x = 1,424.80

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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.