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Finding the Fourth Proportional to 611.72, 843.90 and 464.12

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Solution

The fourth proportional to 611.72, 843.90 and 464.12 is: 640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.72 : 843.90 = 464.12 : x
  2. Step 2: Convert to fraction form
    611.72/843.90 = 464.12/x
  3. Step 3: Cross multiply
    611.72x = 843.90 × 464.12
  4. Step 4: Simplify right side
    611.72x = 391,670.87
  5. Step 5: Solve for x
    x = 391,670.87/611.72
  6. Step 6: Final answer
    x = 640.28

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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.