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Finding the Fourth Proportional to 993.80, 1,490.67 and 445.83

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Solution

The fourth proportional to 993.80, 1,490.67 and 445.83 is: 668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.80 : 1,490.67 = 445.83 : x
  2. Step 2: Convert to fraction form
    993.80/1,490.67 = 445.83/x
  3. Step 3: Cross multiply
    993.80x = 1,490.67 × 445.83
  4. Step 4: Simplify right side
    993.80x = 664,585.41
  5. Step 5: Solve for x
    x = 664,585.41/993.80
  6. Step 6: Final answer
    x = 668.73

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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.