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Finding the Fourth Proportional to 1,285.22, 1,927.81 and 311.31

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Solution

The fourth proportional to 1,285.22, 1,927.81 and 311.31 is: 466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.22 : 1,927.81 = 311.31 : x
  2. Step 2: Convert to fraction form
    1,285.22/1,927.81 = 311.31/x
  3. Step 3: Cross multiply
    1,285.22x = 1,927.81 × 311.31
  4. Step 4: Simplify right side
    1,285.22x = 600,145.75
  5. Step 5: Solve for x
    x = 600,145.75/1,285.22
  6. Step 6: Final answer
    x = 466.96

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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.