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Finding the Fourth Proportional to 1,090.29, 1,634.22 and 474.29

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Solution

The fourth proportional to 1,090.29, 1,634.22 and 474.29 is: 710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.29 : 1,634.22 = 474.29 : x
  2. Step 2: Convert to fraction form
    1,090.29/1,634.22 = 474.29/x
  3. Step 3: Cross multiply
    1,090.29x = 1,634.22 × 474.29
  4. Step 4: Simplify right side
    1,090.29x = 775,086.03
  5. Step 5: Solve for x
    x = 775,086.03/1,090.29
  6. Step 6: Final answer
    x = 710.90

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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.