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Finding the Fourth Proportional to 600.82, 830.05 and 461.30

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Solution

The fourth proportional to 600.82, 830.05 and 461.30 is: 637.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.82 : 830.05 = 461.30 : x
  2. Step 2: Convert to fraction form
    600.82/830.05 = 461.30/x
  3. Step 3: Cross multiply
    600.82x = 830.05 × 461.30
  4. Step 4: Simplify right side
    600.82x = 382,896.76
  5. Step 5: Solve for x
    x = 382,896.76/600.82
  6. Step 6: Final answer
    x = 637.29

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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.