Home / 1,186.18-1,778.79-406.06

Finding the Fourth Proportional to 1,186.18, 1,778.79 and 406.06

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Solution

The fourth proportional to 1,186.18, 1,778.79 and 406.06 is: 608.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.18 : 1,778.79 = 406.06 : x
  2. Step 2: Convert to fraction form
    1,186.18/1,778.79 = 406.06/x
  3. Step 3: Cross multiply
    1,186.18x = 1,778.79 × 406.06
  4. Step 4: Simplify right side
    1,186.18x = 722,295.47
  5. Step 5: Solve for x
    x = 722,295.47/1,186.18
  6. Step 6: Final answer
    x = 608.93

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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.