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Finding the Fourth Proportional to 1,192.88, 1,786.26 and 780.82

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Solution

The fourth proportional to 1,192.88, 1,786.26 and 780.82 is: 1,169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.88 : 1,786.26 = 780.82 : x
  2. Step 2: Convert to fraction form
    1,192.88/1,786.26 = 780.82/x
  3. Step 3: Cross multiply
    1,192.88x = 1,786.26 × 780.82
  4. Step 4: Simplify right side
    1,192.88x = 1,394,746.00
  5. Step 5: Solve for x
    x = 1,394,746.00/1,192.88
  6. Step 6: Final answer
    x = 1,169.22

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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.