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Finding the Fourth Proportional to 863.98, 1,295.08 and 376.94

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Solution

The fourth proportional to 863.98, 1,295.08 and 376.94 is: 565.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.98 : 1,295.08 = 376.94 : x
  2. Step 2: Convert to fraction form
    863.98/1,295.08 = 376.94/x
  3. Step 3: Cross multiply
    863.98x = 1,295.08 × 376.94
  4. Step 4: Simplify right side
    863.98x = 488,167.46
  5. Step 5: Solve for x
    x = 488,167.46/863.98
  6. Step 6: Final answer
    x = 565.02

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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.