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Finding the Fourth Proportional to 863.97, 1,295.94 and 316.20

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Solution

The fourth proportional to 863.97, 1,295.94 and 316.20 is: 474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.97 : 1,295.94 = 316.20 : x
  2. Step 2: Convert to fraction form
    863.97/1,295.94 = 316.20/x
  3. Step 3: Cross multiply
    863.97x = 1,295.94 × 316.20
  4. Step 4: Simplify right side
    863.97x = 409,776.23
  5. Step 5: Solve for x
    x = 409,776.23/863.97
  6. Step 6: Final answer
    x = 474.29

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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.