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Finding the Fourth Proportional to 993.64, 1,491.72 and 629.96

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Solution

The fourth proportional to 993.64, 1,491.72 and 629.96 is: 945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.64 : 1,491.72 = 629.96 : x
  2. Step 2: Convert to fraction form
    993.64/1,491.72 = 629.96/x
  3. Step 3: Cross multiply
    993.64x = 1,491.72 × 629.96
  4. Step 4: Simplify right side
    993.64x = 939,723.93
  5. Step 5: Solve for x
    x = 939,723.93/993.64
  6. Step 6: Final answer
    x = 945.74

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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.