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Finding the Fourth Proportional to 862.53, 1,293.84 and 213.27

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Solution

The fourth proportional to 862.53, 1,293.84 and 213.27 is: 319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.53 : 1,293.84 = 213.27 : x
  2. Step 2: Convert to fraction form
    862.53/1,293.84 = 213.27/x
  3. Step 3: Cross multiply
    862.53x = 1,293.84 × 213.27
  4. Step 4: Simplify right side
    862.53x = 275,937.26
  5. Step 5: Solve for x
    x = 275,937.26/862.53
  6. Step 6: Final answer
    x = 319.92

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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.