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Finding the Fourth Proportional to 422.61, 625.99 and 417.75

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Solution

The fourth proportional to 422.61, 625.99 and 417.75 is: 618.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.61 : 625.99 = 417.75 : x
  2. Step 2: Convert to fraction form
    422.61/625.99 = 417.75/x
  3. Step 3: Cross multiply
    422.61x = 625.99 × 417.75
  4. Step 4: Simplify right side
    422.61x = 261,507.32
  5. Step 5: Solve for x
    x = 261,507.32/422.61
  6. Step 6: Final answer
    x = 618.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.