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Finding the Fourth Proportional to 1,185.72, 1,778.76 and 416.28

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Solution

The fourth proportional to 1,185.72, 1,778.76 and 416.28 is: 624.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.72 : 1,778.76 = 416.28 : x
  2. Step 2: Convert to fraction form
    1,185.72/1,778.76 = 416.28/x
  3. Step 3: Cross multiply
    1,185.72x = 1,778.76 × 416.28
  4. Step 4: Simplify right side
    1,185.72x = 740,462.21
  5. Step 5: Solve for x
    x = 740,462.21/1,185.72
  6. Step 6: Final answer
    x = 624.48

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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.