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Finding the Fourth Proportional to 485.42, 669.44 and 319.57

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Solution

The fourth proportional to 485.42, 669.44 and 319.57 is: 440.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.42 : 669.44 = 319.57 : x
  2. Step 2: Convert to fraction form
    485.42/669.44 = 319.57/x
  3. Step 3: Cross multiply
    485.42x = 669.44 × 319.57
  4. Step 4: Simplify right side
    485.42x = 213,932.14
  5. Step 5: Solve for x
    x = 213,932.14/485.42
  6. Step 6: Final answer
    x = 440.72

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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.