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Finding the Fourth Proportional to 637.64, 956.39 and 394.10

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Solution

The fourth proportional to 637.64, 956.39 and 394.10 is: 591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.64 : 956.39 = 394.10 : x
  2. Step 2: Convert to fraction form
    637.64/956.39 = 394.10/x
  3. Step 3: Cross multiply
    637.64x = 956.39 × 394.10
  4. Step 4: Simplify right side
    637.64x = 376,906.55
  5. Step 5: Solve for x
    x = 376,906.55/637.64
  6. Step 6: Final answer
    x = 591.10

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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.