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Finding the Fourth Proportional to 863.89, 1,296.11 and 556.09

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Solution

The fourth proportional to 863.89, 1,296.11 and 556.09 is: 834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.89 : 1,296.11 = 556.09 : x
  2. Step 2: Convert to fraction form
    863.89/1,296.11 = 556.09/x
  3. Step 3: Cross multiply
    863.89x = 1,296.11 × 556.09
  4. Step 4: Simplify right side
    863.89x = 720,753.81
  5. Step 5: Solve for x
    x = 720,753.81/863.89
  6. Step 6: Final answer
    x = 834.31

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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.