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Finding the Fourth Proportional to 495.43, 739.92 and 449.06

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Solution

The fourth proportional to 495.43, 739.92 and 449.06 is: 670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.43 : 739.92 = 449.06 : x
  2. Step 2: Convert to fraction form
    495.43/739.92 = 449.06/x
  3. Step 3: Cross multiply
    495.43x = 739.92 × 449.06
  4. Step 4: Simplify right side
    495.43x = 332,262.53
  5. Step 5: Solve for x
    x = 332,262.53/495.43
  6. Step 6: Final answer
    x = 670.66

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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.