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Finding the Fourth Proportional to 553.77, 764.21 and 344.05

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Solution

The fourth proportional to 553.77, 764.21 and 344.05 is: 474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.77 : 764.21 = 344.05 : x
  2. Step 2: Convert to fraction form
    553.77/764.21 = 344.05/x
  3. Step 3: Cross multiply
    553.77x = 764.21 × 344.05
  4. Step 4: Simplify right side
    553.77x = 262,926.45
  5. Step 5: Solve for x
    x = 262,926.45/553.77
  6. Step 6: Final answer
    x = 474.79

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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.