Home / 1,588.26-2,382.57-492.90

Finding the Fourth Proportional to 1,588.26, 2,382.57 and 492.90

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Solution

The fourth proportional to 1,588.26, 2,382.57 and 492.90 is: 739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.26 : 2,382.57 = 492.90 : x
  2. Step 2: Convert to fraction form
    1,588.26/2,382.57 = 492.90/x
  3. Step 3: Cross multiply
    1,588.26x = 2,382.57 × 492.90
  4. Step 4: Simplify right side
    1,588.26x = 1,174,368.75
  5. Step 5: Solve for x
    x = 1,174,368.75/1,588.26
  6. Step 6: Final answer
    x = 739.41

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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.