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Finding the Fourth Proportional to 1,234.81, 1,704.60 and 843.88

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Solution

The fourth proportional to 1,234.81, 1,704.60 and 843.88 is: 1,164.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.81 : 1,704.60 = 843.88 : x
  2. Step 2: Convert to fraction form
    1,234.81/1,704.60 = 843.88/x
  3. Step 3: Cross multiply
    1,234.81x = 1,704.60 × 843.88
  4. Step 4: Simplify right side
    1,234.81x = 1,438,477.85
  5. Step 5: Solve for x
    x = 1,438,477.85/1,234.81
  6. Step 6: Final answer
    x = 1,164.94

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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.