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Finding the Fourth Proportional to 600.72, 828.48 and 461.17

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Solution

The fourth proportional to 600.72, 828.48 and 461.17 is: 636.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.72 : 828.48 = 461.17 : x
  2. Step 2: Convert to fraction form
    600.72/828.48 = 461.17/x
  3. Step 3: Cross multiply
    600.72x = 828.48 × 461.17
  4. Step 4: Simplify right side
    600.72x = 382,067.96
  5. Step 5: Solve for x
    x = 382,067.96/600.72
  6. Step 6: Final answer
    x = 636.02

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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.