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Finding the Fourth Proportional to 799.89, 1,204.05 and 729.83

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Solution

The fourth proportional to 799.89, 1,204.05 and 729.83 is: 1,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.89 : 1,204.05 = 729.83 : x
  2. Step 2: Convert to fraction form
    799.89/1,204.05 = 729.83/x
  3. Step 3: Cross multiply
    799.89x = 1,204.05 × 729.83
  4. Step 4: Simplify right side
    799.89x = 878,746.68
  5. Step 5: Solve for x
    x = 878,746.68/799.89
  6. Step 6: Final answer
    x = 1,098.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.