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Finding the Fourth Proportional to 1,191.90, 1,786.74 and 644.14

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Solution

The fourth proportional to 1,191.90, 1,786.74 and 644.14 is: 965.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.90 : 1,786.74 = 644.14 : x
  2. Step 2: Convert to fraction form
    1,191.90/1,786.74 = 644.14/x
  3. Step 3: Cross multiply
    1,191.90x = 1,786.74 × 644.14
  4. Step 4: Simplify right side
    1,191.90x = 1,150,910.70
  5. Step 5: Solve for x
    x = 1,150,910.70/1,191.90
  6. Step 6: Final answer
    x = 965.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.