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Finding the Fourth Proportional to 830.60, 1,243.74 and 443.96

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Solution

The fourth proportional to 830.60, 1,243.74 and 443.96 is: 664.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.60 : 1,243.74 = 443.96 : x
  2. Step 2: Convert to fraction form
    830.60/1,243.74 = 443.96/x
  3. Step 3: Cross multiply
    830.60x = 1,243.74 × 443.96
  4. Step 4: Simplify right side
    830.60x = 552,170.81
  5. Step 5: Solve for x
    x = 552,170.81/830.60
  6. Step 6: Final answer
    x = 664.79

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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.