Home / 1,588.06-2,382.73-722.78

Finding the Fourth Proportional to 1,588.06, 2,382.73 and 722.78

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Solution

The fourth proportional to 1,588.06, 2,382.73 and 722.78 is: 1,084.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.06 : 2,382.73 = 722.78 : x
  2. Step 2: Convert to fraction form
    1,588.06/2,382.73 = 722.78/x
  3. Step 3: Cross multiply
    1,588.06x = 2,382.73 × 722.78
  4. Step 4: Simplify right side
    1,588.06x = 1,722,189.59
  5. Step 5: Solve for x
    x = 1,722,189.59/1,588.06
  6. Step 6: Final answer
    x = 1,084.46

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1.5x scale

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.