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Finding the Fourth Proportional to 863, 1,190.97 and 490.00

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Solution

The fourth proportional to 863, 1,190.97 and 490.00 is: 676.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    863 : 1,190.97 = 490.00 : x
  2. Step 2: Convert to fraction form
    863/1,190.97 = 490.00/x
  3. Step 3: Cross multiply
    863x = 1,190.97 × 490.00
  4. Step 4: Simplify right side
    863x = 583,569.35
  5. Step 5: Solve for x
    x = 583,569.35/863
  6. Step 6: Final answer
    x = 676.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.