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Finding the Fourth Proportional to 879.23, 1,319.48 and 834.05

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Solution

The fourth proportional to 879.23, 1,319.48 and 834.05 is: 1,251.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.23 : 1,319.48 = 834.05 : x
  2. Step 2: Convert to fraction form
    879.23/1,319.48 = 834.05/x
  3. Step 3: Cross multiply
    879.23x = 1,319.48 × 834.05
  4. Step 4: Simplify right side
    879.23x = 1,100,501.53
  5. Step 5: Solve for x
    x = 1,100,501.53/879.23
  6. Step 6: Final answer
    x = 1,251.67

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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.