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Finding the Fourth Proportional to 896.94, 1,345.34 and 311.80

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Solution

The fourth proportional to 896.94, 1,345.34 and 311.80 is: 467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.94 : 1,345.34 = 311.80 : x
  2. Step 2: Convert to fraction form
    896.94/1,345.34 = 311.80/x
  3. Step 3: Cross multiply
    896.94x = 1,345.34 × 311.80
  4. Step 4: Simplify right side
    896.94x = 419,471.32
  5. Step 5: Solve for x
    x = 419,471.32/896.94
  6. Step 6: Final answer
    x = 467.67

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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.