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Finding the Fourth Proportional to 553.90, 764.18 and 343.86

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Solution

The fourth proportional to 553.90, 764.18 and 343.86 is: 474.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.90 : 764.18 = 343.86 : x
  2. Step 2: Convert to fraction form
    553.90/764.18 = 343.86/x
  3. Step 3: Cross multiply
    553.90x = 764.18 × 343.86
  4. Step 4: Simplify right side
    553.90x = 262,771.79
  5. Step 5: Solve for x
    x = 262,771.79/553.90
  6. Step 6: Final answer
    x = 474.41

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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.