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Finding the Fourth Proportional to 1,185.73, 1,778.60 and 415.69

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Solution

The fourth proportional to 1,185.73, 1,778.60 and 415.69 is: 623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.73 : 1,778.60 = 415.69 : x
  2. Step 2: Convert to fraction form
    1,185.73/1,778.60 = 415.69/x
  3. Step 3: Cross multiply
    1,185.73x = 1,778.60 × 415.69
  4. Step 4: Simplify right side
    1,185.73x = 739,339.71
  5. Step 5: Solve for x
    x = 739,339.71/1,185.73
  6. Step 6: Final answer
    x = 623.53

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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.