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Finding the Fourth Proportional to 991.99, 1,490.42 and 936.73

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Solution

The fourth proportional to 991.99, 1,490.42 and 936.73 is: 1,407.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.99 : 1,490.42 = 936.73 : x
  2. Step 2: Convert to fraction form
    991.99/1,490.42 = 936.73/x
  3. Step 3: Cross multiply
    991.99x = 1,490.42 × 936.73
  4. Step 4: Simplify right side
    991.99x = 1,396,121.13
  5. Step 5: Solve for x
    x = 1,396,121.13/991.99
  6. Step 6: Final answer
    x = 1,407.39

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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.