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Finding the Fourth Proportional to 553.97, 762.89 and 474.66

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Solution

The fourth proportional to 553.97, 762.89 and 474.66 is: 653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.97 : 762.89 = 474.66 : x
  2. Step 2: Convert to fraction form
    553.97/762.89 = 474.66/x
  3. Step 3: Cross multiply
    553.97x = 762.89 × 474.66
  4. Step 4: Simplify right side
    553.97x = 362,110.99
  5. Step 5: Solve for x
    x = 362,110.99/553.97
  6. Step 6: Final answer
    x = 653.66

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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.