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Finding the Fourth Proportional to 1,185.19, 1,776.76 and 664.76

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Solution

The fourth proportional to 1,185.19, 1,776.76 and 664.76 is: 996.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.19 : 1,776.76 = 664.76 : x
  2. Step 2: Convert to fraction form
    1,185.19/1,776.76 = 664.76/x
  3. Step 3: Cross multiply
    1,185.19x = 1,776.76 × 664.76
  4. Step 4: Simplify right side
    1,185.19x = 1,181,118.98
  5. Step 5: Solve for x
    x = 1,181,118.98/1,185.19
  6. Step 6: Final answer
    x = 996.57

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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.