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Finding the Fourth Proportional to 1,182.58, 1,771.74 and 662.42

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Solution

The fourth proportional to 1,182.58, 1,771.74 and 662.42 is: 992.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.58 : 1,771.74 = 662.42 : x
  2. Step 2: Convert to fraction form
    1,182.58/1,771.74 = 662.42/x
  3. Step 3: Cross multiply
    1,182.58x = 1,771.74 × 662.42
  4. Step 4: Simplify right side
    1,182.58x = 1,173,640.44
  5. Step 5: Solve for x
    x = 1,173,640.44/1,182.58
  6. Step 6: Final answer
    x = 992.44

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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.