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Finding the Fourth Proportional to 1,081.49, 1,491.78 and 661.12

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Solution

The fourth proportional to 1,081.49, 1,491.78 and 661.12 is: 911.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.49 : 1,491.78 = 661.12 : x
  2. Step 2: Convert to fraction form
    1,081.49/1,491.78 = 661.12/x
  3. Step 3: Cross multiply
    1,081.49x = 1,491.78 × 661.12
  4. Step 4: Simplify right side
    1,081.49x = 986,239.97
  5. Step 5: Solve for x
    x = 986,239.97/1,081.49
  6. Step 6: Final answer
    x = 911.93

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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.