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Finding the Fourth Proportional to 553.83, 764.15 and 344.04

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Solution

The fourth proportional to 553.83, 764.15 and 344.04 is: 474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.83 : 764.15 = 344.04 : x
  2. Step 2: Convert to fraction form
    553.83/764.15 = 344.04/x
  3. Step 3: Cross multiply
    553.83x = 764.15 × 344.04
  4. Step 4: Simplify right side
    553.83x = 262,896.45
  5. Step 5: Solve for x
    x = 262,896.45/553.83
  6. Step 6: Final answer
    x = 474.69

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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.