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Finding the Fourth Proportional to 997.41, 1,485.57 and 945.36

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Solution

The fourth proportional to 997.41, 1,485.57 and 945.36 is: 1,408.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.41 : 1,485.57 = 945.36 : x
  2. Step 2: Convert to fraction form
    997.41/1,485.57 = 945.36/x
  3. Step 3: Cross multiply
    997.41x = 1,485.57 × 945.36
  4. Step 4: Simplify right side
    997.41x = 1,404,407.57
  5. Step 5: Solve for x
    x = 1,404,407.57/997.41
  6. Step 6: Final answer
    x = 1,408.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.