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Finding the Fourth Proportional to 553.71, 764.24 and 329.70

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Solution

The fourth proportional to 553.71, 764.24 and 329.70 is: 455.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.71 : 764.24 = 329.70 : x
  2. Step 2: Convert to fraction form
    553.71/764.24 = 329.70/x
  3. Step 3: Cross multiply
    553.71x = 764.24 × 329.70
  4. Step 4: Simplify right side
    553.71x = 251,971.15
  5. Step 5: Solve for x
    x = 251,971.15/553.71
  6. Step 6: Final answer
    x = 455.06

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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.