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Finding the Fourth Proportional to 1,116.11, 1,539.56 and 879.69

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Solution

The fourth proportional to 1,116.11, 1,539.56 and 879.69 is: 1,213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.11 : 1,539.56 = 879.69 : x
  2. Step 2: Convert to fraction form
    1,116.11/1,539.56 = 879.69/x
  3. Step 3: Cross multiply
    1,116.11x = 1,539.56 × 879.69
  4. Step 4: Simplify right side
    1,116.11x = 1,354,331.14
  5. Step 5: Solve for x
    x = 1,354,331.14/1,116.11
  6. Step 6: Final answer
    x = 1,213.44

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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.