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Finding the Fourth Proportional to 1,185.25, 1,778.69 and 415.75

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Solution

The fourth proportional to 1,185.25, 1,778.69 and 415.75 is: 623.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.25 : 1,778.69 = 415.75 : x
  2. Step 2: Convert to fraction form
    1,185.25/1,778.69 = 415.75/x
  3. Step 3: Cross multiply
    1,185.25x = 1,778.69 × 415.75
  4. Step 4: Simplify right side
    1,185.25x = 739,490.37
  5. Step 5: Solve for x
    x = 739,490.37/1,185.25
  6. Step 6: Final answer
    x = 623.91

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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.