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Finding the Fourth Proportional to 1,185.80, 1,778.87 and 405.61

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Solution

The fourth proportional to 1,185.80, 1,778.87 and 405.61 is: 608.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.80 : 1,778.87 = 405.61 : x
  2. Step 2: Convert to fraction form
    1,185.80/1,778.87 = 405.61/x
  3. Step 3: Cross multiply
    1,185.80x = 1,778.87 × 405.61
  4. Step 4: Simplify right side
    1,185.80x = 721,527.46
  5. Step 5: Solve for x
    x = 721,527.46/1,185.80
  6. Step 6: Final answer
    x = 608.47

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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.