Home / 1,186.14-1,779.23-416.64

Finding the Fourth Proportional to 1,186.14, 1,779.23 and 416.64

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Solution

The fourth proportional to 1,186.14, 1,779.23 and 416.64 is: 624.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.14 : 1,779.23 = 416.64 : x
  2. Step 2: Convert to fraction form
    1,186.14/1,779.23 = 416.64/x
  3. Step 3: Cross multiply
    1,186.14x = 1,779.23 × 416.64
  4. Step 4: Simplify right side
    1,186.14x = 741,296.30
  5. Step 5: Solve for x
    x = 741,296.30/1,186.14
  6. Step 6: Final answer
    x = 624.97

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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.