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Finding the Fourth Proportional to 863.28, 1,293.30 and 766.08

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Solution

The fourth proportional to 863.28, 1,293.30 and 766.08 is: 1,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.28 : 1,293.30 = 766.08 : x
  2. Step 2: Convert to fraction form
    863.28/1,293.30 = 766.08/x
  3. Step 3: Cross multiply
    863.28x = 1,293.30 × 766.08
  4. Step 4: Simplify right side
    863.28x = 990,771.26
  5. Step 5: Solve for x
    x = 990,771.26/863.28
  6. Step 6: Final answer
    x = 1,147.68

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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.