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Finding the Fourth Proportional to 637.75, 956.93 and 406.75

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Solution

The fourth proportional to 637.75, 956.93 and 406.75 is: 610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.75 : 956.93 = 406.75 : x
  2. Step 2: Convert to fraction form
    637.75/956.93 = 406.75/x
  3. Step 3: Cross multiply
    637.75x = 956.93 × 406.75
  4. Step 4: Simplify right side
    637.75x = 389,231.28
  5. Step 5: Solve for x
    x = 389,231.28/637.75
  6. Step 6: Final answer
    x = 610.32

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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.