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Finding the Fourth Proportional to 812.42, 1,119.74 and 672.09

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Solution

The fourth proportional to 812.42, 1,119.74 and 672.09 is: 926.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.42 : 1,119.74 = 672.09 : x
  2. Step 2: Convert to fraction form
    812.42/1,119.74 = 672.09/x
  3. Step 3: Cross multiply
    812.42x = 1,119.74 × 672.09
  4. Step 4: Simplify right side
    812.42x = 752,566.06
  5. Step 5: Solve for x
    x = 752,566.06/812.42
  6. Step 6: Final answer
    x = 926.33

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1.5x scale

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.