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Finding the Fourth Proportional to 656.47, 905.93 and 361.73

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Solution

The fourth proportional to 656.47, 905.93 and 361.73 is: 499.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.47 : 905.93 = 361.73 : x
  2. Step 2: Convert to fraction form
    656.47/905.93 = 361.73/x
  3. Step 3: Cross multiply
    656.47x = 905.93 × 361.73
  4. Step 4: Simplify right side
    656.47x = 327,705.91
  5. Step 5: Solve for x
    x = 327,705.91/656.47
  6. Step 6: Final answer
    x = 499.19

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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.