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Finding the Fourth Proportional to 799.78, 1,196.93 and 635.75

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Solution

The fourth proportional to 799.78, 1,196.93 and 635.75 is: 951.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.78 : 1,196.93 = 635.75 : x
  2. Step 2: Convert to fraction form
    799.78/1,196.93 = 635.75/x
  3. Step 3: Cross multiply
    799.78x = 1,196.93 × 635.75
  4. Step 4: Simplify right side
    799.78x = 760,948.25
  5. Step 5: Solve for x
    x = 760,948.25/799.78
  6. Step 6: Final answer
    x = 951.45

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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.