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Finding the Fourth Proportional to 553.84, 762.96 and 378.88

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Solution

The fourth proportional to 553.84, 762.96 and 378.88 is: 521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.84 : 762.96 = 378.88 : x
  2. Step 2: Convert to fraction form
    553.84/762.96 = 378.88/x
  3. Step 3: Cross multiply
    553.84x = 762.96 × 378.88
  4. Step 4: Simplify right side
    553.84x = 289,070.28
  5. Step 5: Solve for x
    x = 289,070.28/553.84
  6. Step 6: Final answer
    x = 521.94

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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.