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Finding the Fourth Proportional to 1,191.88, 1,788.42 and 672.46

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Solution

The fourth proportional to 1,191.88, 1,788.42 and 672.46 is: 1,009.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.88 : 1,788.42 = 672.46 : x
  2. Step 2: Convert to fraction form
    1,191.88/1,788.42 = 672.46/x
  3. Step 3: Cross multiply
    1,191.88x = 1,788.42 × 672.46
  4. Step 4: Simplify right side
    1,191.88x = 1,202,640.91
  5. Step 5: Solve for x
    x = 1,202,640.91/1,191.88
  6. Step 6: Final answer
    x = 1,009.03

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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.