Home / 1,181.26-1,771.75-315.64

Finding the Fourth Proportional to 1,181.26, 1,771.75 and 315.64

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Solution

The fourth proportional to 1,181.26, 1,771.75 and 315.64 is: 473.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.26 : 1,771.75 = 315.64 : x
  2. Step 2: Convert to fraction form
    1,181.26/1,771.75 = 315.64/x
  3. Step 3: Cross multiply
    1,181.26x = 1,771.75 × 315.64
  4. Step 4: Simplify right side
    1,181.26x = 559,224.73
  5. Step 5: Solve for x
    x = 559,224.73/1,181.26
  6. Step 6: Final answer
    x = 473.42

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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.