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Finding the Fourth Proportional to 799.64, 1,192.64 and 785.78

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Solution

The fourth proportional to 799.64, 1,192.64 and 785.78 is: 1,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.64 : 1,192.64 = 785.78 : x
  2. Step 2: Convert to fraction form
    799.64/1,192.64 = 785.78/x
  3. Step 3: Cross multiply
    799.64x = 1,192.64 × 785.78
  4. Step 4: Simplify right side
    799.64x = 937,152.66
  5. Step 5: Solve for x
    x = 937,152.66/799.64
  6. Step 6: Final answer
    x = 1,171.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.