Home / 1,177.38-1,766.40-446.97

Finding the Fourth Proportional to 1,177.38, 1,766.40 and 446.97

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Solution

The fourth proportional to 1,177.38, 1,766.40 and 446.97 is: 670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.38 : 1,766.40 = 446.97 : x
  2. Step 2: Convert to fraction form
    1,177.38/1,766.40 = 446.97/x
  3. Step 3: Cross multiply
    1,177.38x = 1,766.40 × 446.97
  4. Step 4: Simplify right side
    1,177.38x = 789,527.81
  5. Step 5: Solve for x
    x = 789,527.81/1,177.38
  6. Step 6: Final answer
    x = 670.58

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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.