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Finding the Fourth Proportional to 1,185.06, 1,776.98 and 363.22

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Solution

The fourth proportional to 1,185.06, 1,776.98 and 363.22 is: 544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.06 : 1,776.98 = 363.22 : x
  2. Step 2: Convert to fraction form
    1,185.06/1,776.98 = 363.22/x
  3. Step 3: Cross multiply
    1,185.06x = 1,776.98 × 363.22
  4. Step 4: Simplify right side
    1,185.06x = 645,434.68
  5. Step 5: Solve for x
    x = 645,434.68/1,185.06
  6. Step 6: Final answer
    x = 544.64

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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.