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Finding the Fourth Proportional to 857.25, 1,183.82 and 623.97

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Solution

The fourth proportional to 857.25, 1,183.82 and 623.97 is: 861.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.25 : 1,183.82 = 623.97 : x
  2. Step 2: Convert to fraction form
    857.25/1,183.82 = 623.97/x
  3. Step 3: Cross multiply
    857.25x = 1,183.82 × 623.97
  4. Step 4: Simplify right side
    857.25x = 738,665.05
  5. Step 5: Solve for x
    x = 738,665.05/857.25
  6. Step 6: Final answer
    x = 861.67

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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.