Home / 1,450.38-2,175.24-410.49

Finding the Fourth Proportional to 1,450.38, 2,175.24 and 410.49

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Solution

The fourth proportional to 1,450.38, 2,175.24 and 410.49 is: 615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.38 : 2,175.24 = 410.49 : x
  2. Step 2: Convert to fraction form
    1,450.38/2,175.24 = 410.49/x
  3. Step 3: Cross multiply
    1,450.38x = 2,175.24 × 410.49
  4. Step 4: Simplify right side
    1,450.38x = 892,914.27
  5. Step 5: Solve for x
    x = 892,914.27/1,450.38
  6. Step 6: Final answer
    x = 615.64

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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.