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Finding the Fourth Proportional to 1,051.20, 1,576.67 and 320.85

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Solution

The fourth proportional to 1,051.20, 1,576.67 and 320.85 is: 481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.20 : 1,576.67 = 320.85 : x
  2. Step 2: Convert to fraction form
    1,051.20/1,576.67 = 320.85/x
  3. Step 3: Cross multiply
    1,051.20x = 1,576.67 × 320.85
  4. Step 4: Simplify right side
    1,051.20x = 505,872.97
  5. Step 5: Solve for x
    x = 505,872.97/1,051.20
  6. Step 6: Final answer
    x = 481.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.