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Finding the Fourth Proportional to 1,178.53, 1,768.67 and 449.53

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Solution

The fourth proportional to 1,178.53, 1,768.67 and 449.53 is: 674.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.53 : 1,768.67 = 449.53 : x
  2. Step 2: Convert to fraction form
    1,178.53/1,768.67 = 449.53/x
  3. Step 3: Cross multiply
    1,178.53x = 1,768.67 × 449.53
  4. Step 4: Simplify right side
    1,178.53x = 795,059.13
  5. Step 5: Solve for x
    x = 795,059.13/1,178.53
  6. Step 6: Final answer
    x = 674.62

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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.