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Finding the Fourth Proportional to 1,100.70, 1,518.66 and 786.06

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Solution

The fourth proportional to 1,100.70, 1,518.66 and 786.06 is: 1,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.70 : 1,518.66 = 786.06 : x
  2. Step 2: Convert to fraction form
    1,100.70/1,518.66 = 786.06/x
  3. Step 3: Cross multiply
    1,100.70x = 1,518.66 × 786.06
  4. Step 4: Simplify right side
    1,100.70x = 1,193,757.88
  5. Step 5: Solve for x
    x = 1,193,757.88/1,100.70
  6. Step 6: Final answer
    x = 1,084.54

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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.