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Finding the Fourth Proportional to 553.14, 825.44 and 491.78

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Solution

The fourth proportional to 553.14, 825.44 and 491.78 is: 733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.14 : 825.44 = 491.78 : x
  2. Step 2: Convert to fraction form
    553.14/825.44 = 491.78/x
  3. Step 3: Cross multiply
    553.14x = 825.44 × 491.78
  4. Step 4: Simplify right side
    553.14x = 405,934.88
  5. Step 5: Solve for x
    x = 405,934.88/553.14
  6. Step 6: Final answer
    x = 733.87

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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.