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Finding the Fourth Proportional to 553.82, 764.02 and 364.70

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Solution

The fourth proportional to 553.82, 764.02 and 364.70 is: 503.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.82 : 764.02 = 364.70 : x
  2. Step 2: Convert to fraction form
    553.82/764.02 = 364.70/x
  3. Step 3: Cross multiply
    553.82x = 764.02 × 364.70
  4. Step 4: Simplify right side
    553.82x = 278,638.09
  5. Step 5: Solve for x
    x = 278,638.09/553.82
  6. Step 6: Final answer
    x = 503.12

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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.