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Finding the Fourth Proportional to 1,113.23, 1,668.62 and 838.43

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Solution

The fourth proportional to 1,113.23, 1,668.62 and 838.43 is: 1,256.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.23 : 1,668.62 = 838.43 : x
  2. Step 2: Convert to fraction form
    1,113.23/1,668.62 = 838.43/x
  3. Step 3: Cross multiply
    1,113.23x = 1,668.62 × 838.43
  4. Step 4: Simplify right side
    1,113.23x = 1,399,027.33
  5. Step 5: Solve for x
    x = 1,399,027.33/1,113.23
  6. Step 6: Final answer
    x = 1,256.73

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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.