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Finding the Fourth Proportional to 799.48, 1,199.36 and 453.49

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Solution

The fourth proportional to 799.48, 1,199.36 and 453.49 is: 680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.48 : 1,199.36 = 453.49 : x
  2. Step 2: Convert to fraction form
    799.48/1,199.36 = 453.49/x
  3. Step 3: Cross multiply
    799.48x = 1,199.36 × 453.49
  4. Step 4: Simplify right side
    799.48x = 543,892.50
  5. Step 5: Solve for x
    x = 543,892.50/799.48
  6. Step 6: Final answer
    x = 680.31

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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.