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Finding the Fourth Proportional to 799.44, 1,102.55 and 633.35

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Solution

The fourth proportional to 799.44, 1,102.55 and 633.35 is: 873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.44 : 1,102.55 = 633.35 : x
  2. Step 2: Convert to fraction form
    799.44/1,102.55 = 633.35/x
  3. Step 3: Cross multiply
    799.44x = 1,102.55 × 633.35
  4. Step 4: Simplify right side
    799.44x = 698,291.36
  5. Step 5: Solve for x
    x = 698,291.36/799.44
  6. Step 6: Final answer
    x = 873.48

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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.