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Finding the Fourth Proportional to 453.14, 625.83 and 447.07

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Solution

The fourth proportional to 453.14, 625.83 and 447.07 is: 617.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.14 : 625.83 = 447.07 : x
  2. Step 2: Convert to fraction form
    453.14/625.83 = 447.07/x
  3. Step 3: Cross multiply
    453.14x = 625.83 × 447.07
  4. Step 4: Simplify right side
    453.14x = 279,789.82
  5. Step 5: Solve for x
    x = 279,789.82/453.14
  6. Step 6: Final answer
    x = 617.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.