Home / 1,178.08-1,767.48-408.60

Finding the Fourth Proportional to 1,178.08, 1,767.48 and 408.60

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Solution

The fourth proportional to 1,178.08, 1,767.48 and 408.60 is: 613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.08 : 1,767.48 = 408.60 : x
  2. Step 2: Convert to fraction form
    1,178.08/1,767.48 = 408.60/x
  3. Step 3: Cross multiply
    1,178.08x = 1,767.48 × 408.60
  4. Step 4: Simplify right side
    1,178.08x = 722,192.33
  5. Step 5: Solve for x
    x = 722,192.33/1,178.08
  6. Step 6: Final answer
    x = 613.02

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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.