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Finding the Fourth Proportional to 1,121.44, 1,680.90 and 504.22

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Solution

The fourth proportional to 1,121.44, 1,680.90 and 504.22 is: 755.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.44 : 1,680.90 = 504.22 : x
  2. Step 2: Convert to fraction form
    1,121.44/1,680.90 = 504.22/x
  3. Step 3: Cross multiply
    1,121.44x = 1,680.90 × 504.22
  4. Step 4: Simplify right side
    1,121.44x = 847,543.40
  5. Step 5: Solve for x
    x = 847,543.40/1,121.44
  6. Step 6: Final answer
    x = 755.76

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