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Finding the Fourth Proportional to 1,185.15, 1,776.72 and 491.38

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Solution

The fourth proportional to 1,185.15, 1,776.72 and 491.38 is: 736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.15 : 1,776.72 = 491.38 : x
  2. Step 2: Convert to fraction form
    1,185.15/1,776.72 = 491.38/x
  3. Step 3: Cross multiply
    1,185.15x = 1,776.72 × 491.38
  4. Step 4: Simplify right side
    1,185.15x = 873,049.30
  5. Step 5: Solve for x
    x = 873,049.30/1,185.15
  6. Step 6: Final answer
    x = 736.66

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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.