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Finding the Fourth Proportional to 494.34, 738 and 439.66

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Solution

The fourth proportional to 494.34, 738 and 439.66 is: 656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.34 : 738 = 439.66 : x
  2. Step 2: Convert to fraction form
    494.34/738 = 439.66/x
  3. Step 3: Cross multiply
    494.34x = 738 × 439.66
  4. Step 4: Simplify right side
    494.34x = 324,470.00
  5. Step 5: Solve for x
    x = 324,470.00/494.34
  6. Step 6: Final answer
    x = 656.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.