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Finding the Fourth Proportional to 867, 1,299.72 and 318.80

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Solution

The fourth proportional to 867, 1,299.72 and 318.80 is: 477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    867 : 1,299.72 = 318.80 : x
  2. Step 2: Convert to fraction form
    867/1,299.72 = 318.80/x
  3. Step 3: Cross multiply
    867x = 1,299.72 × 318.80
  4. Step 4: Simplify right side
    867x = 414,344.24
  5. Step 5: Solve for x
    x = 414,344.24/867
  6. Step 6: Final answer
    x = 477.91

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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.