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Finding the Fourth Proportional to 799.73, 1,104.54 and 533.70

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Solution

The fourth proportional to 799.73, 1,104.54 and 533.70 is: 737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.73 : 1,104.54 = 533.70 : x
  2. Step 2: Convert to fraction form
    799.73/1,104.54 = 533.70/x
  3. Step 3: Cross multiply
    799.73x = 1,104.54 × 533.70
  4. Step 4: Simplify right side
    799.73x = 589,493.00
  5. Step 5: Solve for x
    x = 589,493.00/799.73
  6. Step 6: Final answer
    x = 737.12

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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.