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Finding the Fourth Proportional to 553.03, 763.09 and 343.26

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Solution

The fourth proportional to 553.03, 763.09 and 343.26 is: 473.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.03 : 763.09 = 343.26 : x
  2. Step 2: Convert to fraction form
    553.03/763.09 = 343.26/x
  3. Step 3: Cross multiply
    553.03x = 763.09 × 343.26
  4. Step 4: Simplify right side
    553.03x = 261,938.27
  5. Step 5: Solve for x
    x = 261,938.27/553.03
  6. Step 6: Final answer
    x = 473.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.