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Finding the Fourth Proportional to 494.04, 739.24 and 406.56

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Solution

The fourth proportional to 494.04, 739.24 and 406.56 is: 608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.04 : 739.24 = 406.56 : x
  2. Step 2: Convert to fraction form
    494.04/739.24 = 406.56/x
  3. Step 3: Cross multiply
    494.04x = 739.24 × 406.56
  4. Step 4: Simplify right side
    494.04x = 300,543.38
  5. Step 5: Solve for x
    x = 300,543.38/494.04
  6. Step 6: Final answer
    x = 608.34

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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.