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Finding the Fourth Proportional to 446.86, 670.63 and 331.57

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Solution

The fourth proportional to 446.86, 670.63 and 331.57 is: 497.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.86 : 670.63 = 331.57 : x
  2. Step 2: Convert to fraction form
    446.86/670.63 = 331.57/x
  3. Step 3: Cross multiply
    446.86x = 670.63 × 331.57
  4. Step 4: Simplify right side
    446.86x = 222,360.79
  5. Step 5: Solve for x
    x = 222,360.79/446.86
  6. Step 6: Final answer
    x = 497.61

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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.