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Finding the Fourth Proportional to 799.31, 1,102.61 and 550.76

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Solution

The fourth proportional to 799.31, 1,102.61 and 550.76 is: 759.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.31 : 1,102.61 = 550.76 : x
  2. Step 2: Convert to fraction form
    799.31/1,102.61 = 550.76/x
  3. Step 3: Cross multiply
    799.31x = 1,102.61 × 550.76
  4. Step 4: Simplify right side
    799.31x = 607,265.22
  5. Step 5: Solve for x
    x = 607,265.22/799.31
  6. Step 6: Final answer
    x = 759.74

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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.