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Finding the Fourth Proportional to 863.95, 1,296.05 and 308.61

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Solution

The fourth proportional to 863.95, 1,296.05 and 308.61 is: 462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.95 : 1,296.05 = 308.61 : x
  2. Step 2: Convert to fraction form
    863.95/1,296.05 = 308.61/x
  3. Step 3: Cross multiply
    863.95x = 1,296.05 × 308.61
  4. Step 4: Simplify right side
    863.95x = 399,975.22
  5. Step 5: Solve for x
    x = 399,975.22/863.95
  6. Step 6: Final answer
    x = 462.96

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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.