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Finding the Fourth Proportional to 863.06, 1,292.09 and 774.05

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Solution

The fourth proportional to 863.06, 1,292.09 and 774.05 is: 1,158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.06 : 1,292.09 = 774.05 : x
  2. Step 2: Convert to fraction form
    863.06/1,292.09 = 774.05/x
  3. Step 3: Cross multiply
    863.06x = 1,292.09 × 774.05
  4. Step 4: Simplify right side
    863.06x = 1,000,131.93
  5. Step 5: Solve for x
    x = 1,000,131.93/863.06
  6. Step 6: Final answer
    x = 1,158.83

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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.