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Finding the Fourth Proportional to 553.78, 762.42 and 474.94

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Solution

The fourth proportional to 553.78, 762.42 and 474.94 is: 653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.78 : 762.42 = 474.94 : x
  2. Step 2: Convert to fraction form
    553.78/762.42 = 474.94/x
  3. Step 3: Cross multiply
    553.78x = 762.42 × 474.94
  4. Step 4: Simplify right side
    553.78x = 362,103.75
  5. Step 5: Solve for x
    x = 362,103.75/553.78
  6. Step 6: Final answer
    x = 653.88

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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.