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Finding the Fourth Proportional to 863.96, 1,293.84 and 842.04

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Solution

The fourth proportional to 863.96, 1,293.84 and 842.04 is: 1,261.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.96 : 1,293.84 = 842.04 : x
  2. Step 2: Convert to fraction form
    863.96/1,293.84 = 842.04/x
  3. Step 3: Cross multiply
    863.96x = 1,293.84 × 842.04
  4. Step 4: Simplify right side
    863.96x = 1,089,465.03
  5. Step 5: Solve for x
    x = 1,089,465.03/863.96
  6. Step 6: Final answer
    x = 1,261.01

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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.