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Finding the Fourth Proportional to 422.37, 628.79 and 417.69

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Solution

The fourth proportional to 422.37, 628.79 and 417.69 is: 621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.37 : 628.79 = 417.69 : x
  2. Step 2: Convert to fraction form
    422.37/628.79 = 417.69/x
  3. Step 3: Cross multiply
    422.37x = 628.79 × 417.69
  4. Step 4: Simplify right side
    422.37x = 262,637.21
  5. Step 5: Solve for x
    x = 262,637.21/422.37
  6. Step 6: Final answer
    x = 621.82

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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.