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Finding the Fourth Proportional to 863.44, 1,296.25 and 692.24

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Solution

The fourth proportional to 863.44, 1,296.25 and 692.24 is: 1,039.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.44 : 1,296.25 = 692.24 : x
  2. Step 2: Convert to fraction form
    863.44/1,296.25 = 692.24/x
  3. Step 3: Cross multiply
    863.44x = 1,296.25 × 692.24
  4. Step 4: Simplify right side
    863.44x = 897,317.61
  5. Step 5: Solve for x
    x = 897,317.61/863.44
  6. Step 6: Final answer
    x = 1,039.23

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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.