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Finding the Fourth Proportional to 637.26, 956.39 and 406.54

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Solution

The fourth proportional to 637.26, 956.39 and 406.54 is: 610.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.26 : 956.39 = 406.54 : x
  2. Step 2: Convert to fraction form
    637.26/956.39 = 406.54/x
  3. Step 3: Cross multiply
    637.26x = 956.39 × 406.54
  4. Step 4: Simplify right side
    637.26x = 388,810.79
  5. Step 5: Solve for x
    x = 388,810.79/637.26
  6. Step 6: Final answer
    x = 610.13

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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.