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Finding the Fourth Proportional to 611.78, 843.92 and 464.16

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Solution

The fourth proportional to 611.78, 843.92 and 464.16 is: 640.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.78 : 843.92 = 464.16 : x
  2. Step 2: Convert to fraction form
    611.78/843.92 = 464.16/x
  3. Step 3: Cross multiply
    611.78x = 843.92 × 464.16
  4. Step 4: Simplify right side
    611.78x = 391,711.59
  5. Step 5: Solve for x
    x = 391,711.59/611.78
  6. Step 6: Final answer
    x = 640.29

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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.