Home / 1,490.24-2,231.22-758.24

Finding the Fourth Proportional to 1,490.24, 2,231.22 and 758.24

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Solution

The fourth proportional to 1,490.24, 2,231.22 and 758.24 is: 1,135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.24 : 2,231.22 = 758.24 : x
  2. Step 2: Convert to fraction form
    1,490.24/2,231.22 = 758.24/x
  3. Step 3: Cross multiply
    1,490.24x = 2,231.22 × 758.24
  4. Step 4: Simplify right side
    1,490.24x = 1,691,800.25
  5. Step 5: Solve for x
    x = 1,691,800.25/1,490.24
  6. Step 6: Final answer
    x = 1,135.25

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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.