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Finding the Fourth Proportional to 863.84, 1,296.96 and 540.56

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Solution

The fourth proportional to 863.84, 1,296.96 and 540.56 is: 811.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.84 : 1,296.96 = 540.56 : x
  2. Step 2: Convert to fraction form
    863.84/1,296.96 = 540.56/x
  3. Step 3: Cross multiply
    863.84x = 1,296.96 × 540.56
  4. Step 4: Simplify right side
    863.84x = 701,084.70
  5. Step 5: Solve for x
    x = 701,084.70/863.84
  6. Step 6: Final answer
    x = 811.59

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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.