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Finding the Fourth Proportional to 484.86, 669.18 and 319.56

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Solution

The fourth proportional to 484.86, 669.18 and 319.56 is: 441.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.86 : 669.18 = 319.56 : x
  2. Step 2: Convert to fraction form
    484.86/669.18 = 319.56/x
  3. Step 3: Cross multiply
    484.86x = 669.18 × 319.56
  4. Step 4: Simplify right side
    484.86x = 213,843.16
  5. Step 5: Solve for x
    x = 213,843.16/484.86
  6. Step 6: Final answer
    x = 441.04

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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.