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Finding the Fourth Proportional to 991.89, 1,369.44 and 729.45

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Solution

The fourth proportional to 991.89, 1,369.44 and 729.45 is: 1,007.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.89 : 1,369.44 = 729.45 : x
  2. Step 2: Convert to fraction form
    991.89/1,369.44 = 729.45/x
  3. Step 3: Cross multiply
    991.89x = 1,369.44 × 729.45
  4. Step 4: Simplify right side
    991.89x = 998,938.01
  5. Step 5: Solve for x
    x = 998,938.01/991.89
  6. Step 6: Final answer
    x = 1,007.11

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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.