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Finding the Fourth Proportional to 1,131.46, 1,561.53 and 911.14

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Solution

The fourth proportional to 1,131.46, 1,561.53 and 911.14 is: 1,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.46 : 1,561.53 = 911.14 : x
  2. Step 2: Convert to fraction form
    1,131.46/1,561.53 = 911.14/x
  3. Step 3: Cross multiply
    1,131.46x = 1,561.53 × 911.14
  4. Step 4: Simplify right side
    1,131.46x = 1,422,772.44
  5. Step 5: Solve for x
    x = 1,422,772.44/1,131.46
  6. Step 6: Final answer
    x = 1,257.47

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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.