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Finding the Fourth Proportional to 656.72, 906.23 and 361.93

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Solution

The fourth proportional to 656.72, 906.23 and 361.93 is: 499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.72 : 906.23 = 361.93 : x
  2. Step 2: Convert to fraction form
    656.72/906.23 = 361.93/x
  3. Step 3: Cross multiply
    656.72x = 906.23 × 361.93
  4. Step 4: Simplify right side
    656.72x = 327,990.46
  5. Step 5: Solve for x
    x = 327,990.46/656.72
  6. Step 6: Final answer
    x = 499.44

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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.