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Finding the Fourth Proportional to 1,161.21, 1,741.82 and 295.52

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Solution

The fourth proportional to 1,161.21, 1,741.82 and 295.52 is: 443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.21 : 1,741.82 = 295.52 : x
  2. Step 2: Convert to fraction form
    1,161.21/1,741.82 = 295.52/x
  3. Step 3: Cross multiply
    1,161.21x = 1,741.82 × 295.52
  4. Step 4: Simplify right side
    1,161.21x = 514,742.65
  5. Step 5: Solve for x
    x = 514,742.65/1,161.21
  6. Step 6: Final answer
    x = 443.28

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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.