Home / 1,162.23-1,743.35-477.75

Finding the Fourth Proportional to 1,162.23, 1,743.35 and 477.75

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Solution

The fourth proportional to 1,162.23, 1,743.35 and 477.75 is: 716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.23 : 1,743.35 = 477.75 : x
  2. Step 2: Convert to fraction form
    1,162.23/1,743.35 = 477.75/x
  3. Step 3: Cross multiply
    1,162.23x = 1,743.35 × 477.75
  4. Step 4: Simplify right side
    1,162.23x = 832,883.07
  5. Step 5: Solve for x
    x = 832,883.07/1,162.23
  6. Step 6: Final answer
    x = 716.63

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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.