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Finding the Fourth Proportional to 1,188.77, 1,774.23 and 1,169.31

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Solution

The fourth proportional to 1,188.77, 1,774.23 and 1,169.31 is: 1,745.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.77 : 1,774.23 = 1,169.31 : x
  2. Step 2: Convert to fraction form
    1,188.77/1,774.23 = 1,169.31/x
  3. Step 3: Cross multiply
    1,188.77x = 1,774.23 × 1,169.31
  4. Step 4: Simplify right side
    1,188.77x = 2,074,624.88
  5. Step 5: Solve for x
    x = 2,074,624.88/1,188.77
  6. Step 6: Final answer
    x = 1,745.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.