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Finding the Fourth Proportional to 637.89, 956.82 and 272.43

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Solution

The fourth proportional to 637.89, 956.82 and 272.43 is: 408.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.89 : 956.82 = 272.43 : x
  2. Step 2: Convert to fraction form
    637.89/956.82 = 272.43/x
  3. Step 3: Cross multiply
    637.89x = 956.82 × 272.43
  4. Step 4: Simplify right side
    637.89x = 260,666.47
  5. Step 5: Solve for x
    x = 260,666.47/637.89
  6. Step 6: Final answer
    x = 408.64

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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.