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Finding the Fourth Proportional to 494.04, 739.58 and 401.68

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Solution

The fourth proportional to 494.04, 739.58 and 401.68 is: 601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.04 : 739.58 = 401.68 : x
  2. Step 2: Convert to fraction form
    494.04/739.58 = 401.68/x
  3. Step 3: Cross multiply
    494.04x = 739.58 × 401.68
  4. Step 4: Simplify right side
    494.04x = 297,074.49
  5. Step 5: Solve for x
    x = 297,074.49/494.04
  6. Step 6: Final answer
    x = 601.32

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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.