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Finding the Fourth Proportional to 799.09, 1,102.62 and 504.52

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Solution

The fourth proportional to 799.09, 1,102.62 and 504.52 is: 696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.09 : 1,102.62 = 504.52 : x
  2. Step 2: Convert to fraction form
    799.09/1,102.62 = 504.52/x
  3. Step 3: Cross multiply
    799.09x = 1,102.62 × 504.52
  4. Step 4: Simplify right side
    799.09x = 556,293.84
  5. Step 5: Solve for x
    x = 556,293.84/799.09
  6. Step 6: Final answer
    x = 696.16

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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.