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Finding the Fourth Proportional to 656.26, 905.88 and 394.27

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Solution

The fourth proportional to 656.26, 905.88 and 394.27 is: 544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.26 : 905.88 = 394.27 : x
  2. Step 2: Convert to fraction form
    656.26/905.88 = 394.27/x
  3. Step 3: Cross multiply
    656.26x = 905.88 × 394.27
  4. Step 4: Simplify right side
    656.26x = 357,161.31
  5. Step 5: Solve for x
    x = 357,161.31/656.26
  6. Step 6: Final answer
    x = 544.24

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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.