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Finding the Fourth Proportional to 637.99, 958.57 and 406.97

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Solution

The fourth proportional to 637.99, 958.57 and 406.97 is: 611.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.99 : 958.57 = 406.97 : x
  2. Step 2: Convert to fraction form
    637.99/958.57 = 406.97/x
  3. Step 3: Cross multiply
    637.99x = 958.57 × 406.97
  4. Step 4: Simplify right side
    637.99x = 390,109.23
  5. Step 5: Solve for x
    x = 390,109.23/637.99
  6. Step 6: Final answer
    x = 611.47

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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.