Home / 1,186.14-1,779.49-406.15

Finding the Fourth Proportional to 1,186.14, 1,779.49 and 406.15

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Solution

The fourth proportional to 1,186.14, 1,779.49 and 406.15 is: 609.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.14 : 1,779.49 = 406.15 : x
  2. Step 2: Convert to fraction form
    1,186.14/1,779.49 = 406.15/x
  3. Step 3: Cross multiply
    1,186.14x = 1,779.49 × 406.15
  4. Step 4: Simplify right side
    1,186.14x = 722,734.40
  5. Step 5: Solve for x
    x = 722,734.40/1,186.14
  6. Step 6: Final answer
    x = 609.32

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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.