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Finding the Fourth Proportional to 607.98, 911.84 and 197.01

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Solution

The fourth proportional to 607.98, 911.84 and 197.01 is: 295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.98 : 911.84 = 197.01 : x
  2. Step 2: Convert to fraction form
    607.98/911.84 = 197.01/x
  3. Step 3: Cross multiply
    607.98x = 911.84 × 197.01
  4. Step 4: Simplify right side
    607.98x = 179,640.61
  5. Step 5: Solve for x
    x = 179,640.61/607.98
  6. Step 6: Final answer
    x = 295.47

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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.