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Finding the Fourth Proportional to 494.45, 742.46 and 385.02

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Solution

The fourth proportional to 494.45, 742.46 and 385.02 is: 578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.45 : 742.46 = 385.02 : x
  2. Step 2: Convert to fraction form
    494.45/742.46 = 385.02/x
  3. Step 3: Cross multiply
    494.45x = 742.46 × 385.02
  4. Step 4: Simplify right side
    494.45x = 285,861.11
  5. Step 5: Solve for x
    x = 285,861.11/494.45
  6. Step 6: Final answer
    x = 578.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.