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Finding the Fourth Proportional to 610.85, 842.96 and 331.07

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Solution

The fourth proportional to 610.85, 842.96 and 331.07 is: 456.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.85 : 842.96 = 331.07 : x
  2. Step 2: Convert to fraction form
    610.85/842.96 = 331.07/x
  3. Step 3: Cross multiply
    610.85x = 842.96 × 331.07
  4. Step 4: Simplify right side
    610.85x = 279,077.11
  5. Step 5: Solve for x
    x = 279,077.11/610.85
  6. Step 6: Final answer
    x = 456.87

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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.