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Finding the Fourth Proportional to 553.57, 763.38 and 343.78

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Solution

The fourth proportional to 553.57, 763.38 and 343.78 is: 474.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.57 : 763.38 = 343.78 : x
  2. Step 2: Convert to fraction form
    553.57/763.38 = 343.78/x
  3. Step 3: Cross multiply
    553.57x = 763.38 × 343.78
  4. Step 4: Simplify right side
    553.57x = 262,432.87
  5. Step 5: Solve for x
    x = 262,432.87/553.57
  6. Step 6: Final answer
    x = 474.08

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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.