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Finding the Fourth Proportional to 800.48, 1,199.92 and 475.36

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Solution

The fourth proportional to 800.48, 1,199.92 and 475.36 is: 712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.48 : 1,199.92 = 475.36 : x
  2. Step 2: Convert to fraction form
    800.48/1,199.92 = 475.36/x
  3. Step 3: Cross multiply
    800.48x = 1,199.92 × 475.36
  4. Step 4: Simplify right side
    800.48x = 570,393.97
  5. Step 5: Solve for x
    x = 570,393.97/800.48
  6. Step 6: Final answer
    x = 712.56

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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.