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Finding the Fourth Proportional to 495.34, 739.49 and 440.66

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Solution

The fourth proportional to 495.34, 739.49 and 440.66 is: 657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.34 : 739.49 = 440.66 : x
  2. Step 2: Convert to fraction form
    495.34/739.49 = 440.66/x
  3. Step 3: Cross multiply
    495.34x = 739.49 × 440.66
  4. Step 4: Simplify right side
    495.34x = 325,863.66
  5. Step 5: Solve for x
    x = 325,863.66/495.34
  6. Step 6: Final answer
    x = 657.86

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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.