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Finding the Fourth Proportional to 1,490.06, 2,234 and 905.20

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Solution

The fourth proportional to 1,490.06, 2,234 and 905.20 is: 1,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.06 : 2,234 = 905.20 : x
  2. Step 2: Convert to fraction form
    1,490.06/2,234 = 905.20/x
  3. Step 3: Cross multiply
    1,490.06x = 2,234 × 905.20
  4. Step 4: Simplify right side
    1,490.06x = 2,022,216.80
  5. Step 5: Solve for x
    x = 2,022,216.80/1,490.06
  6. Step 6: Final answer
    x = 1,357.14

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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.