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Finding the Fourth Proportional to 1,122.03, 1,682.09 and 473.22

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Solution

The fourth proportional to 1,122.03, 1,682.09 and 473.22 is: 709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.03 : 1,682.09 = 473.22 : x
  2. Step 2: Convert to fraction form
    1,122.03/1,682.09 = 473.22/x
  3. Step 3: Cross multiply
    1,122.03x = 1,682.09 × 473.22
  4. Step 4: Simplify right side
    1,122.03x = 795,996.26
  5. Step 5: Solve for x
    x = 795,996.26/1,122.03
  6. Step 6: Final answer
    x = 709.43

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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.