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Finding the Fourth Proportional to 863.96, 1,296.02 and 703

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Solution

The fourth proportional to 863.96, 1,296.02 and 703 is: 1,054.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.96 : 1,296.02 = 703 : x
  2. Step 2: Convert to fraction form
    863.96/1,296.02 = 703/x
  3. Step 3: Cross multiply
    863.96x = 1,296.02 × 703
  4. Step 4: Simplify right side
    863.96x = 911,102.06
  5. Step 5: Solve for x
    x = 911,102.06/863.96
  6. Step 6: Final answer
    x = 1,054.57

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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.