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Finding the Fourth Proportional to 1,369.74, 1,890.24 and 748.74

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Solution

The fourth proportional to 1,369.74, 1,890.24 and 748.74 is: 1,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.74 : 1,890.24 = 748.74 : x
  2. Step 2: Convert to fraction form
    1,369.74/1,890.24 = 748.74/x
  3. Step 3: Cross multiply
    1,369.74x = 1,890.24 × 748.74
  4. Step 4: Simplify right side
    1,369.74x = 1,415,298.30
  5. Step 5: Solve for x
    x = 1,415,298.30/1,369.74
  6. Step 6: Final answer
    x = 1,033.26

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Why These Related Problems?

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