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Finding the Fourth Proportional to 863.62, 1,292.91 and 848.26

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Solution

The fourth proportional to 863.62, 1,292.91 and 848.26 is: 1,269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.62 : 1,292.91 = 848.26 : x
  2. Step 2: Convert to fraction form
    863.62/1,292.91 = 848.26/x
  3. Step 3: Cross multiply
    863.62x = 1,292.91 × 848.26
  4. Step 4: Simplify right side
    863.62x = 1,096,723.84
  5. Step 5: Solve for x
    x = 1,096,723.84/863.62
  6. Step 6: Final answer
    x = 1,269.91

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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.