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Finding the Fourth Proportional to 495.45, 739.44 and 454.14

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Solution

The fourth proportional to 495.45, 739.44 and 454.14 is: 677.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.45 : 739.44 = 454.14 : x
  2. Step 2: Convert to fraction form
    495.45/739.44 = 454.14/x
  3. Step 3: Cross multiply
    495.45x = 739.44 × 454.14
  4. Step 4: Simplify right side
    495.45x = 335,809.28
  5. Step 5: Solve for x
    x = 335,809.28/495.45
  6. Step 6: Final answer
    x = 677.79

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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.