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Finding the Fourth Proportional to 637.62, 958.02 and 406.60

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Solution

The fourth proportional to 637.62, 958.02 and 406.60 is: 610.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.62 : 958.02 = 406.60 : x
  2. Step 2: Convert to fraction form
    637.62/958.02 = 406.60/x
  3. Step 3: Cross multiply
    637.62x = 958.02 × 406.60
  4. Step 4: Simplify right side
    637.62x = 389,530.93
  5. Step 5: Solve for x
    x = 389,530.93/637.62
  6. Step 6: Final answer
    x = 610.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.