Home / 1,584.97-2,378.36-611.15

Finding the Fourth Proportional to 1,584.97, 2,378.36 and 611.15

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Solution

The fourth proportional to 1,584.97, 2,378.36 and 611.15 is: 917.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.97 : 2,378.36 = 611.15 : x
  2. Step 2: Convert to fraction form
    1,584.97/2,378.36 = 611.15/x
  3. Step 3: Cross multiply
    1,584.97x = 2,378.36 × 611.15
  4. Step 4: Simplify right side
    1,584.97x = 1,453,524.35
  5. Step 5: Solve for x
    x = 1,453,524.35/1,584.97
  6. Step 6: Final answer
    x = 917.07

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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.