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Finding the Fourth Proportional to 611.85, 843.37 and 478.85

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Solution

The fourth proportional to 611.85, 843.37 and 478.85 is: 660.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.85 : 843.37 = 478.85 : x
  2. Step 2: Convert to fraction form
    611.85/843.37 = 478.85/x
  3. Step 3: Cross multiply
    611.85x = 843.37 × 478.85
  4. Step 4: Simplify right side
    611.85x = 403,843.51
  5. Step 5: Solve for x
    x = 403,843.51/611.85
  6. Step 6: Final answer
    x = 660.04

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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.