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Finding the Fourth Proportional to 993.74, 1,491.21 and 628.02

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Solution

The fourth proportional to 993.74, 1,491.21 and 628.02 is: 942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.74 : 1,491.21 = 628.02 : x
  2. Step 2: Convert to fraction form
    993.74/1,491.21 = 628.02/x
  3. Step 3: Cross multiply
    993.74x = 1,491.21 × 628.02
  4. Step 4: Simplify right side
    993.74x = 936,509.70
  5. Step 5: Solve for x
    x = 936,509.70/993.74
  6. Step 6: Final answer
    x = 942.41

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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.