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Finding the Fourth Proportional to 656.43, 905.99 and 627.27

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Solution

The fourth proportional to 656.43, 905.99 and 627.27 is: 865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.43 : 905.99 = 627.27 : x
  2. Step 2: Convert to fraction form
    656.43/905.99 = 627.27/x
  3. Step 3: Cross multiply
    656.43x = 905.99 × 627.27
  4. Step 4: Simplify right side
    656.43x = 568,297.21
  5. Step 5: Solve for x
    x = 568,297.21/656.43
  6. Step 6: Final answer
    x = 865.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.