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Finding the Fourth Proportional to 494.37, 678.50 and 440.70

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Solution

The fourth proportional to 494.37, 678.50 and 440.70 is: 604.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.37 : 678.50 = 440.70 : x
  2. Step 2: Convert to fraction form
    494.37/678.50 = 440.70/x
  3. Step 3: Cross multiply
    494.37x = 678.50 × 440.70
  4. Step 4: Simplify right side
    494.37x = 299,014.95
  5. Step 5: Solve for x
    x = 299,014.95/494.37
  6. Step 6: Final answer
    x = 604.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.