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Finding the Fourth Proportional to 799.24, 1,102.26 and 577.84

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Solution

The fourth proportional to 799.24, 1,102.26 and 577.84 is: 796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.24 : 1,102.26 = 577.84 : x
  2. Step 2: Convert to fraction form
    799.24/1,102.26 = 577.84/x
  3. Step 3: Cross multiply
    799.24x = 1,102.26 × 577.84
  4. Step 4: Simplify right side
    799.24x = 636,929.92
  5. Step 5: Solve for x
    x = 636,929.92/799.24
  6. Step 6: Final answer
    x = 796.92

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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.