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Finding the Fourth Proportional to 729.36, 1,092.83 and 511.88

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Solution

The fourth proportional to 729.36, 1,092.83 and 511.88 is: 766.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.36 : 1,092.83 = 511.88 : x
  2. Step 2: Convert to fraction form
    729.36/1,092.83 = 511.88/x
  3. Step 3: Cross multiply
    729.36x = 1,092.83 × 511.88
  4. Step 4: Simplify right side
    729.36x = 559,389.80
  5. Step 5: Solve for x
    x = 559,389.80/729.36
  6. Step 6: Final answer
    x = 766.96

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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.