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Finding the Fourth Proportional to 800.36, 1,105.48 and 578.96

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Solution

The fourth proportional to 800.36, 1,105.48 and 578.96 is: 799.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.36 : 1,105.48 = 578.96 : x
  2. Step 2: Convert to fraction form
    800.36/1,105.48 = 578.96/x
  3. Step 3: Cross multiply
    800.36x = 1,105.48 × 578.96
  4. Step 4: Simplify right side
    800.36x = 640,028.70
  5. Step 5: Solve for x
    x = 640,028.70/800.36
  6. Step 6: Final answer
    x = 799.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.