Home / 1,178.23-1,766.26-408.19

Finding the Fourth Proportional to 1,178.23, 1,766.26 and 408.19

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Solution

The fourth proportional to 1,178.23, 1,766.26 and 408.19 is: 611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.23 : 1,766.26 = 408.19 : x
  2. Step 2: Convert to fraction form
    1,178.23/1,766.26 = 408.19/x
  3. Step 3: Cross multiply
    1,178.23x = 1,766.26 × 408.19
  4. Step 4: Simplify right side
    1,178.23x = 720,965.25
  5. Step 5: Solve for x
    x = 720,965.25/1,178.23
  6. Step 6: Final answer
    x = 611.91

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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.