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Finding the Fourth Proportional to 1,177.34, 1,766.71 and 447.53

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Solution

The fourth proportional to 1,177.34, 1,766.71 and 447.53 is: 671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.34 : 1,766.71 = 447.53 : x
  2. Step 2: Convert to fraction form
    1,177.34/1,766.71 = 447.53/x
  3. Step 3: Cross multiply
    1,177.34x = 1,766.71 × 447.53
  4. Step 4: Simplify right side
    1,177.34x = 790,647.45
  5. Step 5: Solve for x
    x = 790,647.45/1,177.34
  6. Step 6: Final answer
    x = 671.56

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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.