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Finding the Fourth Proportional to 1,090.70, 1,634.73 and 504.90

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Solution

The fourth proportional to 1,090.70, 1,634.73 and 504.90 is: 756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.70 : 1,634.73 = 504.90 : x
  2. Step 2: Convert to fraction form
    1,090.70/1,634.73 = 504.90/x
  3. Step 3: Cross multiply
    1,090.70x = 1,634.73 × 504.90
  4. Step 4: Simplify right side
    1,090.70x = 825,375.18
  5. Step 5: Solve for x
    x = 825,375.18/1,090.70
  6. Step 6: Final answer
    x = 756.74

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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.