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Finding the Fourth Proportional to 494.31, 737.97 and 378.12

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Solution

The fourth proportional to 494.31, 737.97 and 378.12 is: 564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.31 : 737.97 = 378.12 : x
  2. Step 2: Convert to fraction form
    494.31/737.97 = 378.12/x
  3. Step 3: Cross multiply
    494.31x = 737.97 × 378.12
  4. Step 4: Simplify right side
    494.31x = 279,041.22
  5. Step 5: Solve for x
    x = 279,041.22/494.31
  6. Step 6: Final answer
    x = 564.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.