Home / 1,490.14-2,234.19-758.30

Finding the Fourth Proportional to 1,490.14, 2,234.19 and 758.30

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Solution

The fourth proportional to 1,490.14, 2,234.19 and 758.30 is: 1,136.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.14 : 2,234.19 = 758.30 : x
  2. Step 2: Convert to fraction form
    1,490.14/2,234.19 = 758.30/x
  3. Step 3: Cross multiply
    1,490.14x = 2,234.19 × 758.30
  4. Step 4: Simplify right side
    1,490.14x = 1,694,186.28
  5. Step 5: Solve for x
    x = 1,694,186.28/1,490.14
  6. Step 6: Final answer
    x = 1,136.93

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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.