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Finding the Fourth Proportional to 1,173.65, 1,760.45 and 443.25

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Solution

The fourth proportional to 1,173.65, 1,760.45 and 443.25 is: 664.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.65 : 1,760.45 = 443.25 : x
  2. Step 2: Convert to fraction form
    1,173.65/1,760.45 = 443.25/x
  3. Step 3: Cross multiply
    1,173.65x = 1,760.45 × 443.25
  4. Step 4: Simplify right side
    1,173.65x = 780,317.25
  5. Step 5: Solve for x
    x = 780,317.25/1,173.65
  6. Step 6: Final answer
    x = 664.87

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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.