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Finding the Fourth Proportional to 1,112.41, 1,668.60 and 454.56

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Solution

The fourth proportional to 1,112.41, 1,668.60 and 454.56 is: 681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.41 : 1,668.60 = 454.56 : x
  2. Step 2: Convert to fraction form
    1,112.41/1,668.60 = 454.56/x
  3. Step 3: Cross multiply
    1,112.41x = 1,668.60 × 454.56
  4. Step 4: Simplify right side
    1,112.41x = 758,478.82
  5. Step 5: Solve for x
    x = 758,478.82/1,112.41
  6. Step 6: Final answer
    x = 681.83

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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.