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Finding the Fourth Proportional to 729.94, 1,092.84 and 485.98

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Solution

The fourth proportional to 729.94, 1,092.84 and 485.98 is: 727.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.94 : 1,092.84 = 485.98 : x
  2. Step 2: Convert to fraction form
    729.94/1,092.84 = 485.98/x
  3. Step 3: Cross multiply
    729.94x = 1,092.84 × 485.98
  4. Step 4: Simplify right side
    729.94x = 531,098.38
  5. Step 5: Solve for x
    x = 531,098.38/729.94
  6. Step 6: Final answer
    x = 727.59

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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.