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Finding the Fourth Proportional to 1,369.76, 1,890.26 and 748.76

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Solution

The fourth proportional to 1,369.76, 1,890.26 and 748.76 is: 1,033.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.76 : 1,890.26 = 748.76 : x
  2. Step 2: Convert to fraction form
    1,369.76/1,890.26 = 748.76/x
  3. Step 3: Cross multiply
    1,369.76x = 1,890.26 × 748.76
  4. Step 4: Simplify right side
    1,369.76x = 1,415,351.08
  5. Step 5: Solve for x
    x = 1,415,351.08/1,369.76
  6. Step 6: Final answer
    x = 1,033.28

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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.