Home / 1,147.14-1,721.62-416.92

Finding the Fourth Proportional to 1,147.14, 1,721.62 and 416.92

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Solution

The fourth proportional to 1,147.14, 1,721.62 and 416.92 is: 625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.14 : 1,721.62 = 416.92 : x
  2. Step 2: Convert to fraction form
    1,147.14/1,721.62 = 416.92/x
  3. Step 3: Cross multiply
    1,147.14x = 1,721.62 × 416.92
  4. Step 4: Simplify right side
    1,147.14x = 717,777.81
  5. Step 5: Solve for x
    x = 717,777.81/1,147.14
  6. Step 6: Final answer
    x = 625.71

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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.