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Finding the Fourth Proportional to 1,101.44, 1,519.36 and 681.60

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Solution

The fourth proportional to 1,101.44, 1,519.36 and 681.60 is: 940.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.44 : 1,519.36 = 681.60 : x
  2. Step 2: Convert to fraction form
    1,101.44/1,519.36 = 681.60/x
  3. Step 3: Cross multiply
    1,101.44x = 1,519.36 × 681.60
  4. Step 4: Simplify right side
    1,101.44x = 1,035,595.78
  5. Step 5: Solve for x
    x = 1,035,595.78/1,101.44
  6. Step 6: Final answer
    x = 940.22

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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.