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Finding the Fourth Proportional to 1,188.46, 1,782.86 and 408.66

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Solution

The fourth proportional to 1,188.46, 1,782.86 and 408.66 is: 613.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.46 : 1,782.86 = 408.66 : x
  2. Step 2: Convert to fraction form
    1,188.46/1,782.86 = 408.66/x
  3. Step 3: Cross multiply
    1,188.46x = 1,782.86 × 408.66
  4. Step 4: Simplify right side
    1,188.46x = 728,584.59
  5. Step 5: Solve for x
    x = 728,584.59/1,188.46
  6. Step 6: Final answer
    x = 613.05

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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.