Home / 1,223.14-1,834.44-432.62

Finding the Fourth Proportional to 1,223.14, 1,834.44 and 432.62

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Solution

The fourth proportional to 1,223.14, 1,834.44 and 432.62 is: 648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.14 : 1,834.44 = 432.62 : x
  2. Step 2: Convert to fraction form
    1,223.14/1,834.44 = 432.62/x
  3. Step 3: Cross multiply
    1,223.14x = 1,834.44 × 432.62
  4. Step 4: Simplify right side
    1,223.14x = 793,615.43
  5. Step 5: Solve for x
    x = 793,615.43/1,223.14
  6. Step 6: Final answer
    x = 648.83

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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.