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Finding the Fourth Proportional to 1,179.97, 1,769.34 and 357.77

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Solution

The fourth proportional to 1,179.97, 1,769.34 and 357.77 is: 536.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.97 : 1,769.34 = 357.77 : x
  2. Step 2: Convert to fraction form
    1,179.97/1,769.34 = 357.77/x
  3. Step 3: Cross multiply
    1,179.97x = 1,769.34 × 357.77
  4. Step 4: Simplify right side
    1,179.97x = 633,012.58
  5. Step 5: Solve for x
    x = 633,012.58/1,179.97
  6. Step 6: Final answer
    x = 536.47

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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.