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Finding the Fourth Proportional to 1,722.44, 2,583.20 and 748.32

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Solution

The fourth proportional to 1,722.44, 2,583.20 and 748.32 is: 1,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.44 : 2,583.20 = 748.32 : x
  2. Step 2: Convert to fraction form
    1,722.44/2,583.20 = 748.32/x
  3. Step 3: Cross multiply
    1,722.44x = 2,583.20 × 748.32
  4. Step 4: Simplify right side
    1,722.44x = 1,933,060.22
  5. Step 5: Solve for x
    x = 1,933,060.22/1,722.44
  6. Step 6: Final answer
    x = 1,122.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.