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Finding the Fourth Proportional to 969.86, 1,453.77 and 481.83

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Solution

The fourth proportional to 969.86, 1,453.77 and 481.83 is: 722.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.86 : 1,453.77 = 481.83 : x
  2. Step 2: Convert to fraction form
    969.86/1,453.77 = 481.83/x
  3. Step 3: Cross multiply
    969.86x = 1,453.77 × 481.83
  4. Step 4: Simplify right side
    969.86x = 700,470.00
  5. Step 5: Solve for x
    x = 700,470.00/969.86
  6. Step 6: Final answer
    x = 722.24

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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.