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Finding the Fourth Proportional to 670.82, 1,004.85 and 396.08

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Solution

The fourth proportional to 670.82, 1,004.85 and 396.08 is: 593.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.82 : 1,004.85 = 396.08 : x
  2. Step 2: Convert to fraction form
    670.82/1,004.85 = 396.08/x
  3. Step 3: Cross multiply
    670.82x = 1,004.85 × 396.08
  4. Step 4: Simplify right side
    670.82x = 397,995.96
  5. Step 5: Solve for x
    x = 397,995.96/670.82
  6. Step 6: Final answer
    x = 593.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.