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Finding the Fourth Proportional to 1,177.34, 1,766.91 and 447.42

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Solution

The fourth proportional to 1,177.34, 1,766.91 and 447.42 is: 671.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.34 : 1,766.91 = 447.42 : x
  2. Step 2: Convert to fraction form
    1,177.34/1,766.91 = 447.42/x
  3. Step 3: Cross multiply
    1,177.34x = 1,766.91 × 447.42
  4. Step 4: Simplify right side
    1,177.34x = 790,559.18
  5. Step 5: Solve for x
    x = 790,559.18/1,177.34
  6. Step 6: Final answer
    x = 671.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.