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Finding the Fourth Proportional to 991.24, 1,367.94 and 729.76

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Solution

The fourth proportional to 991.24, 1,367.94 and 729.76 is: 1,007.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.24 : 1,367.94 = 729.76 : x
  2. Step 2: Convert to fraction form
    991.24/1,367.94 = 729.76/x
  3. Step 3: Cross multiply
    991.24x = 1,367.94 × 729.76
  4. Step 4: Simplify right side
    991.24x = 998,267.89
  5. Step 5: Solve for x
    x = 998,267.89/991.24
  6. Step 6: Final answer
    x = 1,007.09

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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.