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Finding the Fourth Proportional to 863.90, 1,295.81 and 376.95

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Solution

The fourth proportional to 863.90, 1,295.81 and 376.95 is: 565.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.90 : 1,295.81 = 376.95 : x
  2. Step 2: Convert to fraction form
    863.90/1,295.81 = 376.95/x
  3. Step 3: Cross multiply
    863.90x = 1,295.81 × 376.95
  4. Step 4: Simplify right side
    863.90x = 488,460.50
  5. Step 5: Solve for x
    x = 488,460.50/863.90
  6. Step 6: Final answer
    x = 565.41

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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.