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Finding the Fourth Proportional to 993.66, 1,489.33 and 729.73

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Solution

The fourth proportional to 993.66, 1,489.33 and 729.73 is: 1,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.66 : 1,489.33 = 729.73 : x
  2. Step 2: Convert to fraction form
    993.66/1,489.33 = 729.73/x
  3. Step 3: Cross multiply
    993.66x = 1,489.33 × 729.73
  4. Step 4: Simplify right side
    993.66x = 1,086,808.78
  5. Step 5: Solve for x
    x = 1,086,808.78/993.66
  6. Step 6: Final answer
    x = 1,093.74

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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.