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Finding the Fourth Proportional to 993.93, 1,490.83 and 445.93

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Solution

The fourth proportional to 993.93, 1,490.83 and 445.93 is: 668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.93 : 1,490.83 = 445.93 : x
  2. Step 2: Convert to fraction form
    993.93/1,490.83 = 445.93/x
  3. Step 3: Cross multiply
    993.93x = 1,490.83 × 445.93
  4. Step 4: Simplify right side
    993.93x = 664,800.98
  5. Step 5: Solve for x
    x = 664,800.98/993.93
  6. Step 6: Final answer
    x = 668.86

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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.