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Finding the Fourth Proportional to 1,285.63, 1,928.44 and 311.73

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Solution

The fourth proportional to 1,285.63, 1,928.44 and 311.73 is: 467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.63 : 1,928.44 = 311.73 : x
  2. Step 2: Convert to fraction form
    1,285.63/1,928.44 = 311.73/x
  3. Step 3: Cross multiply
    1,285.63x = 1,928.44 × 311.73
  4. Step 4: Simplify right side
    1,285.63x = 601,145.12
  5. Step 5: Solve for x
    x = 601,145.12/1,285.63
  6. Step 6: Final answer
    x = 467.59

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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.