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Finding the Fourth Proportional to 863.73, 1,292.36 and 573.75

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Solution

The fourth proportional to 863.73, 1,292.36 and 573.75 is: 858.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.73 : 1,292.36 = 573.75 : x
  2. Step 2: Convert to fraction form
    863.73/1,292.36 = 573.75/x
  3. Step 3: Cross multiply
    863.73x = 1,292.36 × 573.75
  4. Step 4: Simplify right side
    863.73x = 741,488.68
  5. Step 5: Solve for x
    x = 741,488.68/863.73
  6. Step 6: Final answer
    x = 858.47

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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.