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Finding the Fourth Proportional to 611.19, 843.45 and 345.64

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Solution

The fourth proportional to 611.19, 843.45 and 345.64 is: 476.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.19 : 843.45 = 345.64 : x
  2. Step 2: Convert to fraction form
    611.19/843.45 = 345.64/x
  3. Step 3: Cross multiply
    611.19x = 843.45 × 345.64
  4. Step 4: Simplify right side
    611.19x = 291,530.06
  5. Step 5: Solve for x
    x = 291,530.06/611.19
  6. Step 6: Final answer
    x = 476.99

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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.