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Finding the Fourth Proportional to 1,100.46, 1,519.34 and 982.23

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Solution

The fourth proportional to 1,100.46, 1,519.34 and 982.23 is: 1,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.46 : 1,519.34 = 982.23 : x
  2. Step 2: Convert to fraction form
    1,100.46/1,519.34 = 982.23/x
  3. Step 3: Cross multiply
    1,100.46x = 1,519.34 × 982.23
  4. Step 4: Simplify right side
    1,100.46x = 1,492,330.72
  5. Step 5: Solve for x
    x = 1,492,330.72/1,100.46
  6. Step 6: Final answer
    x = 1,356.10

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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.