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Finding the Fourth Proportional to 799.59, 1,201.74 and 663.51

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Solution

The fourth proportional to 799.59, 1,201.74 and 663.51 is: 997.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.59 : 1,201.74 = 663.51 : x
  2. Step 2: Convert to fraction form
    799.59/1,201.74 = 663.51/x
  3. Step 3: Cross multiply
    799.59x = 1,201.74 × 663.51
  4. Step 4: Simplify right side
    799.59x = 797,366.51
  5. Step 5: Solve for x
    x = 797,366.51/799.59
  6. Step 6: Final answer
    x = 997.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.