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Finding the Fourth Proportional to 997, 1,494.54 and 411.64

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Solution

The fourth proportional to 997, 1,494.54 and 411.64 is: 617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    997 : 1,494.54 = 411.64 : x
  2. Step 2: Convert to fraction form
    997/1,494.54 = 411.64/x
  3. Step 3: Cross multiply
    997x = 1,494.54 × 411.64
  4. Step 4: Simplify right side
    997x = 615,212.45
  5. Step 5: Solve for x
    x = 615,212.45/997
  6. Step 6: Final answer
    x = 617.06

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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.