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Finding the Fourth Proportional to 799.78, 1,199.57 and 594.65

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Solution

The fourth proportional to 799.78, 1,199.57 and 594.65 is: 891.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.78 : 1,199.57 = 594.65 : x
  2. Step 2: Convert to fraction form
    799.78/1,199.57 = 594.65/x
  3. Step 3: Cross multiply
    799.78x = 1,199.57 × 594.65
  4. Step 4: Simplify right side
    799.78x = 713,324.30
  5. Step 5: Solve for x
    x = 713,324.30/799.78
  6. Step 6: Final answer
    x = 891.90

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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.