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Finding the Fourth Proportional to 1,182.09, 1,773.14 and 661.85

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Solution

The fourth proportional to 1,182.09, 1,773.14 and 661.85 is: 992.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.09 : 1,773.14 = 661.85 : x
  2. Step 2: Convert to fraction form
    1,182.09/1,773.14 = 661.85/x
  3. Step 3: Cross multiply
    1,182.09x = 1,773.14 × 661.85
  4. Step 4: Simplify right side
    1,182.09x = 1,173,540.53
  5. Step 5: Solve for x
    x = 1,173,540.53/1,182.09
  6. Step 6: Final answer
    x = 992.77

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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.