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Finding the Fourth Proportional to 993.92, 1,491.28 and 609.44

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Solution

The fourth proportional to 993.92, 1,491.28 and 609.44 is: 914.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.92 : 1,491.28 = 609.44 : x
  2. Step 2: Convert to fraction form
    993.92/1,491.28 = 609.44/x
  3. Step 3: Cross multiply
    993.92x = 1,491.28 × 609.44
  4. Step 4: Simplify right side
    993.92x = 908,845.68
  5. Step 5: Solve for x
    x = 908,845.68/993.92
  6. Step 6: Final answer
    x = 914.41

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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.