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Finding the Fourth Proportional to 991.99, 1,369.17 and 660.43

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Solution

The fourth proportional to 991.99, 1,369.17 and 660.43 is: 911.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.99 : 1,369.17 = 660.43 : x
  2. Step 2: Convert to fraction form
    991.99/1,369.17 = 660.43/x
  3. Step 3: Cross multiply
    991.99x = 1,369.17 × 660.43
  4. Step 4: Simplify right side
    991.99x = 904,240.94
  5. Step 5: Solve for x
    x = 904,240.94/991.99
  6. Step 6: Final answer
    x = 911.54

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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.