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Finding the Fourth Proportional to 1,343.38, 1,853.41 and 812.42

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Solution

The fourth proportional to 1,343.38, 1,853.41 and 812.42 is: 1,120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.38 : 1,853.41 = 812.42 : x
  2. Step 2: Convert to fraction form
    1,343.38/1,853.41 = 812.42/x
  3. Step 3: Cross multiply
    1,343.38x = 1,853.41 × 812.42
  4. Step 4: Simplify right side
    1,343.38x = 1,505,749.95
  5. Step 5: Solve for x
    x = 1,505,749.95/1,343.38
  6. Step 6: Final answer
    x = 1,120.87

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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.