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Finding the Fourth Proportional to 1,178.64, 1,766.48 and 1,147.97

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Solution

The fourth proportional to 1,178.64, 1,766.48 and 1,147.97 is: 1,720.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.64 : 1,766.48 = 1,147.97 : x
  2. Step 2: Convert to fraction form
    1,178.64/1,766.48 = 1,147.97/x
  3. Step 3: Cross multiply
    1,178.64x = 1,766.48 × 1,147.97
  4. Step 4: Simplify right side
    1,178.64x = 2,027,864.72
  5. Step 5: Solve for x
    x = 2,027,864.72/1,178.64
  6. Step 6: Final answer
    x = 1,720.51

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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.