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Finding the Fourth Proportional to 656.29, 905.66 and 394.26

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Solution

The fourth proportional to 656.29, 905.66 and 394.26 is: 544.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.29 : 905.66 = 394.26 : x
  2. Step 2: Convert to fraction form
    656.29/905.66 = 394.26/x
  3. Step 3: Cross multiply
    656.29x = 905.66 × 394.26
  4. Step 4: Simplify right side
    656.29x = 357,061.62
  5. Step 5: Solve for x
    x = 357,061.62/656.29
  6. Step 6: Final answer
    x = 544.06

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