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Finding the Fourth Proportional to 863.96, 1,296.32 and 316.22

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Solution

The fourth proportional to 863.96, 1,296.32 and 316.22 is: 474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.96 : 1,296.32 = 316.22 : x
  2. Step 2: Convert to fraction form
    863.96/1,296.32 = 316.22/x
  3. Step 3: Cross multiply
    863.96x = 1,296.32 × 316.22
  4. Step 4: Simplify right side
    863.96x = 409,921.54
  5. Step 5: Solve for x
    x = 409,921.54/863.96
  6. Step 6: Final answer
    x = 474.47

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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.