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Finding the Fourth Proportional to 553.38, 763.74 and 343.59

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Solution

The fourth proportional to 553.38, 763.74 and 343.59 is: 474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.38 : 763.74 = 343.59 : x
  2. Step 2: Convert to fraction form
    553.38/763.74 = 343.59/x
  3. Step 3: Cross multiply
    553.38x = 763.74 × 343.59
  4. Step 4: Simplify right side
    553.38x = 262,413.43
  5. Step 5: Solve for x
    x = 262,413.43/553.38
  6. Step 6: Final answer
    x = 474.20

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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.