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Finding the Fourth Proportional to 656.15, 905.60 and 394.43

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Solution

The fourth proportional to 656.15, 905.60 and 394.43 is: 544.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.15 : 905.60 = 394.43 : x
  2. Step 2: Convert to fraction form
    656.15/905.60 = 394.43/x
  3. Step 3: Cross multiply
    656.15x = 905.60 × 394.43
  4. Step 4: Simplify right side
    656.15x = 357,193.84
  5. Step 5: Solve for x
    x = 357,193.84/656.15
  6. Step 6: Final answer
    x = 544.38

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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.