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Finding the Fourth Proportional to 553.28, 763.34 and 343.50

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Solution

The fourth proportional to 553.28, 763.34 and 343.50 is: 473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.28 : 763.34 = 343.50 : x
  2. Step 2: Convert to fraction form
    553.28/763.34 = 343.50/x
  3. Step 3: Cross multiply
    553.28x = 763.34 × 343.50
  4. Step 4: Simplify right side
    553.28x = 262,207.29
  5. Step 5: Solve for x
    x = 262,207.29/553.28
  6. Step 6: Final answer
    x = 473.91

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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.