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Finding the Fourth Proportional to 611.07, 843.07 and 345.48

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Solution

The fourth proportional to 611.07, 843.07 and 345.48 is: 476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.07 : 843.07 = 345.48 : x
  2. Step 2: Convert to fraction form
    611.07/843.07 = 345.48/x
  3. Step 3: Cross multiply
    611.07x = 843.07 × 345.48
  4. Step 4: Simplify right side
    611.07x = 291,262.96
  5. Step 5: Solve for x
    x = 291,262.96/611.07
  6. Step 6: Final answer
    x = 476.64

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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.