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Finding the Fourth Proportional to 453.72, 625.50 and 416.28

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Solution

The fourth proportional to 453.72, 625.50 and 416.28 is: 573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.72 : 625.50 = 416.28 : x
  2. Step 2: Convert to fraction form
    453.72/625.50 = 416.28/x
  3. Step 3: Cross multiply
    453.72x = 625.50 × 416.28
  4. Step 4: Simplify right side
    453.72x = 260,383.14
  5. Step 5: Solve for x
    x = 260,383.14/453.72
  6. Step 6: Final answer
    x = 573.89

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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.