Home / 1,416.27-2,122.96-491.19

Finding the Fourth Proportional to 1,416.27, 2,122.96 and 491.19

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Solution

The fourth proportional to 1,416.27, 2,122.96 and 491.19 is: 736.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.27 : 2,122.96 = 491.19 : x
  2. Step 2: Convert to fraction form
    1,416.27/2,122.96 = 491.19/x
  3. Step 3: Cross multiply
    1,416.27x = 2,122.96 × 491.19
  4. Step 4: Simplify right side
    1,416.27x = 1,042,776.72
  5. Step 5: Solve for x
    x = 1,042,776.72/1,416.27
  6. Step 6: Final answer
    x = 736.28

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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.