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Finding the Fourth Proportional to 494.13, 738.06 and 384.78

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Solution

The fourth proportional to 494.13, 738.06 and 384.78 is: 574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.13 : 738.06 = 384.78 : x
  2. Step 2: Convert to fraction form
    494.13/738.06 = 384.78/x
  3. Step 3: Cross multiply
    494.13x = 738.06 × 384.78
  4. Step 4: Simplify right side
    494.13x = 283,990.73
  5. Step 5: Solve for x
    x = 283,990.73/494.13
  6. Step 6: Final answer
    x = 574.73

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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.