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Finding the Fourth Proportional to 453.52, 628.22 and 417.04

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Solution

The fourth proportional to 453.52, 628.22 and 417.04 is: 577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.52 : 628.22 = 417.04 : x
  2. Step 2: Convert to fraction form
    453.52/628.22 = 417.04/x
  3. Step 3: Cross multiply
    453.52x = 628.22 × 417.04
  4. Step 4: Simplify right side
    453.52x = 261,992.87
  5. Step 5: Solve for x
    x = 261,992.87/453.52
  6. Step 6: Final answer
    x = 577.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.