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Finding the Fourth Proportional to 553.51, 764 and 378.82

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Solution

The fourth proportional to 553.51, 764 and 378.82 is: 522.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.51 : 764 = 378.82 : x
  2. Step 2: Convert to fraction form
    553.51/764 = 378.82/x
  3. Step 3: Cross multiply
    553.51x = 764 × 378.82
  4. Step 4: Simplify right side
    553.51x = 289,418.48
  5. Step 5: Solve for x
    x = 289,418.48/553.51
  6. Step 6: Final answer
    x = 522.88

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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.