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Finding the Fourth Proportional to 656.75, 905.77 and 394.58

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Solution

The fourth proportional to 656.75, 905.77 and 394.58 is: 544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.75 : 905.77 = 394.58 : x
  2. Step 2: Convert to fraction form
    656.75/905.77 = 394.58/x
  3. Step 3: Cross multiply
    656.75x = 905.77 × 394.58
  4. Step 4: Simplify right side
    656.75x = 357,398.73
  5. Step 5: Solve for x
    x = 357,398.73/656.75
  6. Step 6: Final answer
    x = 544.19

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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.