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Finding the Fourth Proportional to 611.25, 843.54 and 345.72

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Solution

The fourth proportional to 611.25, 843.54 and 345.72 is: 477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.25 : 843.54 = 345.72 : x
  2. Step 2: Convert to fraction form
    611.25/843.54 = 345.72/x
  3. Step 3: Cross multiply
    611.25x = 843.54 × 345.72
  4. Step 4: Simplify right side
    611.25x = 291,628.65
  5. Step 5: Solve for x
    x = 291,628.65/611.25
  6. Step 6: Final answer
    x = 477.10

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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.