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Finding the Fourth Proportional to 1,080.11, 1,491.16 and 866.87

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Solution

The fourth proportional to 1,080.11, 1,491.16 and 866.87 is: 1,196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.11 : 1,491.16 = 866.87 : x
  2. Step 2: Convert to fraction form
    1,080.11/1,491.16 = 866.87/x
  3. Step 3: Cross multiply
    1,080.11x = 1,491.16 × 866.87
  4. Step 4: Simplify right side
    1,080.11x = 1,292,641.87
  5. Step 5: Solve for x
    x = 1,292,641.87/1,080.11
  6. Step 6: Final answer
    x = 1,196.77

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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.