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Finding the Fourth Proportional to 495.52, 739.40 and 449.44

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Solution

The fourth proportional to 495.52, 739.40 and 449.44 is: 670.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.52 : 739.40 = 449.44 : x
  2. Step 2: Convert to fraction form
    495.52/739.40 = 449.44/x
  3. Step 3: Cross multiply
    495.52x = 739.40 × 449.44
  4. Step 4: Simplify right side
    495.52x = 332,315.94
  5. Step 5: Solve for x
    x = 332,315.94/495.52
  6. Step 6: Final answer
    x = 670.64

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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.