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Finding the Fourth Proportional to 1,178.83, 1,767.84 and 448.62

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Solution

The fourth proportional to 1,178.83, 1,767.84 and 448.62 is: 672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.83 : 1,767.84 = 448.62 : x
  2. Step 2: Convert to fraction form
    1,178.83/1,767.84 = 448.62/x
  3. Step 3: Cross multiply
    1,178.83x = 1,767.84 × 448.62
  4. Step 4: Simplify right side
    1,178.83x = 793,088.38
  5. Step 5: Solve for x
    x = 793,088.38/1,178.83
  6. Step 6: Final answer
    x = 672.78

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