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Finding the Fourth Proportional to 799.86, 1,196.14 and 760.98

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Solution

The fourth proportional to 799.86, 1,196.14 and 760.98 is: 1,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.86 : 1,196.14 = 760.98 : x
  2. Step 2: Convert to fraction form
    799.86/1,196.14 = 760.98/x
  3. Step 3: Cross multiply
    799.86x = 1,196.14 × 760.98
  4. Step 4: Simplify right side
    799.86x = 910,238.62
  5. Step 5: Solve for x
    x = 910,238.62/799.86
  6. Step 6: Final answer
    x = 1,138.00

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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.