Home / 1,186.10-1,779.13-406.09

Finding the Fourth Proportional to 1,186.10, 1,779.13 and 406.09

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Solution

The fourth proportional to 1,186.10, 1,779.13 and 406.09 is: 609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.10 : 1,779.13 = 406.09 : x
  2. Step 2: Convert to fraction form
    1,186.10/1,779.13 = 406.09/x
  3. Step 3: Cross multiply
    1,186.10x = 1,779.13 × 406.09
  4. Step 4: Simplify right side
    1,186.10x = 722,486.90
  5. Step 5: Solve for x
    x = 722,486.90/1,186.10
  6. Step 6: Final answer
    x = 609.13

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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.