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Finding the Fourth Proportional to 494.50, 740.44 and 396.55

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Solution

The fourth proportional to 494.50, 740.44 and 396.55 is: 593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.50 : 740.44 = 396.55 : x
  2. Step 2: Convert to fraction form
    494.50/740.44 = 396.55/x
  3. Step 3: Cross multiply
    494.50x = 740.44 × 396.55
  4. Step 4: Simplify right side
    494.50x = 293,621.48
  5. Step 5: Solve for x
    x = 293,621.48/494.50
  6. Step 6: Final answer
    x = 593.77

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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.