Home / 1,189.96-1,784.59-459.36

Finding the Fourth Proportional to 1,189.96, 1,784.59 and 459.36

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Solution

The fourth proportional to 1,189.96, 1,784.59 and 459.36 is: 688.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.96 : 1,784.59 = 459.36 : x
  2. Step 2: Convert to fraction form
    1,189.96/1,784.59 = 459.36/x
  3. Step 3: Cross multiply
    1,189.96x = 1,784.59 × 459.36
  4. Step 4: Simplify right side
    1,189.96x = 819,766.97
  5. Step 5: Solve for x
    x = 819,766.97/1,189.96
  6. Step 6: Final answer
    x = 688.91

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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.