Home / 1,177.64-1,766.57-447.02

Finding the Fourth Proportional to 1,177.64, 1,766.57 and 447.02

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Solution

The fourth proportional to 1,177.64, 1,766.57 and 447.02 is: 670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.64 : 1,766.57 = 447.02 : x
  2. Step 2: Convert to fraction form
    1,177.64/1,766.57 = 447.02/x
  3. Step 3: Cross multiply
    1,177.64x = 1,766.57 × 447.02
  4. Step 4: Simplify right side
    1,177.64x = 789,681.05
  5. Step 5: Solve for x
    x = 789,681.05/1,177.64
  6. Step 6: Final answer
    x = 670.57

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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.