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Finding the Fourth Proportional to 650.28, 969.80 and 553.38

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Solution

The fourth proportional to 650.28, 969.80 and 553.38 is: 825.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.28 : 969.80 = 553.38 : x
  2. Step 2: Convert to fraction form
    650.28/969.80 = 553.38/x
  3. Step 3: Cross multiply
    650.28x = 969.80 × 553.38
  4. Step 4: Simplify right side
    650.28x = 536,667.92
  5. Step 5: Solve for x
    x = 536,667.92/650.28
  6. Step 6: Final answer
    x = 825.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.