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Finding the Fourth Proportional to 1,180.91, 1,771.44 and 359.24

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Solution

The fourth proportional to 1,180.91, 1,771.44 and 359.24 is: 538.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.91 : 1,771.44 = 359.24 : x
  2. Step 2: Convert to fraction form
    1,180.91/1,771.44 = 359.24/x
  3. Step 3: Cross multiply
    1,180.91x = 1,771.44 × 359.24
  4. Step 4: Simplify right side
    1,180.91x = 636,370.31
  5. Step 5: Solve for x
    x = 636,370.31/1,180.91
  6. Step 6: Final answer
    x = 538.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.