Home / 1,175.72-1,764.39-406.22

Finding the Fourth Proportional to 1,175.72, 1,764.39 and 406.22

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Solution

The fourth proportional to 1,175.72, 1,764.39 and 406.22 is: 609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.72 : 1,764.39 = 406.22 : x
  2. Step 2: Convert to fraction form
    1,175.72/1,764.39 = 406.22/x
  3. Step 3: Cross multiply
    1,175.72x = 1,764.39 × 406.22
  4. Step 4: Simplify right side
    1,175.72x = 716,728.30
  5. Step 5: Solve for x
    x = 716,728.30/1,175.72
  6. Step 6: Final answer
    x = 609.61

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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.