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Finding the Fourth Proportional to 637.93, 956.73 and 406.49

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Solution

The fourth proportional to 637.93, 956.73 and 406.49 is: 609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.93 : 956.73 = 406.49 : x
  2. Step 2: Convert to fraction form
    637.93/956.73 = 406.49/x
  3. Step 3: Cross multiply
    637.93x = 956.73 × 406.49
  4. Step 4: Simplify right side
    637.93x = 388,901.18
  5. Step 5: Solve for x
    x = 388,901.18/637.93
  6. Step 6: Final answer
    x = 609.63

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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.