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Finding the Fourth Proportional to 863.68, 1,293.59 and 644.54

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Solution

The fourth proportional to 863.68, 1,293.59 and 644.54 is: 965.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.68 : 1,293.59 = 644.54 : x
  2. Step 2: Convert to fraction form
    863.68/1,293.59 = 644.54/x
  3. Step 3: Cross multiply
    863.68x = 1,293.59 × 644.54
  4. Step 4: Simplify right side
    863.68x = 833,769.29
  5. Step 5: Solve for x
    x = 833,769.29/863.68
  6. Step 6: Final answer
    x = 965.37

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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.