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Finding the Fourth Proportional to 1,179.46, 1,769.48 and 399.46

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Solution

The fourth proportional to 1,179.46, 1,769.48 and 399.46 is: 599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.46 : 1,769.48 = 399.46 : x
  2. Step 2: Convert to fraction form
    1,179.46/1,769.48 = 399.46/x
  3. Step 3: Cross multiply
    1,179.46x = 1,769.48 × 399.46
  4. Step 4: Simplify right side
    1,179.46x = 706,836.48
  5. Step 5: Solve for x
    x = 706,836.48/1,179.46
  6. Step 6: Final answer
    x = 599.29

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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.