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Finding the Fourth Proportional to 611.17, 843.38 and 345.64

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Solution

The fourth proportional to 611.17, 843.38 and 345.64 is: 476.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.17 : 843.38 = 345.64 : x
  2. Step 2: Convert to fraction form
    611.17/843.38 = 345.64/x
  3. Step 3: Cross multiply
    611.17x = 843.38 × 345.64
  4. Step 4: Simplify right side
    611.17x = 291,504.14
  5. Step 5: Solve for x
    x = 291,504.14/611.17
  6. Step 6: Final answer
    x = 476.96

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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.