Home / 1,190.26-1,784.36-459.34

Finding the Fourth Proportional to 1,190.26, 1,784.36 and 459.34

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Solution

The fourth proportional to 1,190.26, 1,784.36 and 459.34 is: 688.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.26 : 1,784.36 = 459.34 : x
  2. Step 2: Convert to fraction form
    1,190.26/1,784.36 = 459.34/x
  3. Step 3: Cross multiply
    1,190.26x = 1,784.36 × 459.34
  4. Step 4: Simplify right side
    1,190.26x = 819,624.61
  5. Step 5: Solve for x
    x = 819,624.61/1,190.26
  6. Step 6: Final answer
    x = 688.61

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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.