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Finding the Fourth Proportional to 553.38, 762.64 and 475.62

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Solution

The fourth proportional to 553.38, 762.64 and 475.62 is: 655.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.38 : 762.64 = 475.62 : x
  2. Step 2: Convert to fraction form
    553.38/762.64 = 475.62/x
  3. Step 3: Cross multiply
    553.38x = 762.64 × 475.62
  4. Step 4: Simplify right side
    553.38x = 362,726.84
  5. Step 5: Solve for x
    x = 362,726.84/553.38
  6. Step 6: Final answer
    x = 655.48

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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.