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Finding the Fourth Proportional to 797.99, 1,195.88 and 446.28

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Solution

The fourth proportional to 797.99, 1,195.88 and 446.28 is: 668.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.99 : 1,195.88 = 446.28 : x
  2. Step 2: Convert to fraction form
    797.99/1,195.88 = 446.28/x
  3. Step 3: Cross multiply
    797.99x = 1,195.88 × 446.28
  4. Step 4: Simplify right side
    797.99x = 533,693.22
  5. Step 5: Solve for x
    x = 533,693.22/797.99
  6. Step 6: Final answer
    x = 668.79

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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.